253364149248 has 176 divisors, whose sum is σ = 805337617920. Its totient is φ = 69242241024.

The previous prime is 253364149243. The next prime is 253364149253. The reversal of 253364149248 is 842941463352.

253364149248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (253364149243) and next prime (253364149253).

It is a self number, because there is not a number n which added to its sum of digits gives 253364149248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253364149243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238458 + ... + 750726.

It is an arithmetic number, because the mean of its divisors is an integer number (4575781920).

Almost surely, 2^253364149248 is an apocalyptic number.

253364149248 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 253364149248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402668808960).

253364149248 is an abundant number, since it is smaller than the sum of its proper divisors (551973468672).

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

253364149248 is a wasteful number, since it uses less digits than its factorization.

253364149248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512322 (or 512304 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 51.

The spelling of 253364149248 in words is "two hundred fifty-three billion, three hundred sixty-four million, one hundred forty-nine thousand, two hundred forty-eight".