253048971744 has 288 divisors, whose sum is σ = 781685704800. Its totient is φ = 77340082176.

The previous prime is 253048971743. The next prime is 253048971751. The reversal of 253048971744 is 447179840352.

253048971744 is a `hidden beast` number, since 2 + 53 + 0 + 489 + 71 + 7 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253048971743) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94525734 + ... + 94528410.

It is an arithmetic number, because the mean of its divisors is an integer number (2714186475).

Almost surely, 2^253048971744 is an apocalyptic number.

253048971744 is a gapful number since it is divisible by the number (24) 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 253048971744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390842852400).

253048971744 is an abundant number, since it is smaller than the sum of its proper divisors (528636733056).

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

253048971744 is a wasteful number, since it uses less digits than its factorization.

253048971744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3202 (or 3191 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 253048971744 in words is "two hundred fifty-three billion, forty-eight million, nine hundred seventy-one thousand, seven hundred forty-four".