253951746048 has 1792 divisors, whose sum is σ = 1070992097280. Its totient is φ = 57330892800.

The previous prime is 253951746047. The next prime is 253951746067. The reversal of 253951746048 is 840647159352.

It is a happy number.

253951746048 is a `hidden beast` number, since 2 + 53 + 95 + 1 + 7 + 460 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 253951745985 and 253951746003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253951746043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6863560686 + ... + 6863560722.

It is an arithmetic number, because the mean of its divisors is an integer number (597651840).

It is a 1-persistent number, because it is pandigital, but 2⋅253951746048 = 507903492096 is not.

Almost surely, 2^253951746048 is an apocalyptic number.

253951746048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253951746048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535496048640).

253951746048 is an abundant number, since it is smaller than the sum of its proper divisors (817040351232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

253951746048 is a wasteful number, since it uses less digits than its factorization.

253951746048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

It can be divided in two parts, 253951 and 746048, that added together give a palindrome (999999).

The spelling of 253951746048 in words is "two hundred fifty-three billion, nine hundred fifty-one million, seven hundred forty-six thousand, forty-eight".