253339736832 has 360 divisors, whose sum is σ = 929746316576. Its totient is φ = 66814377984.

The previous prime is 253339736827. The next prime is 253339736843. The reversal of 253339736832 is 238637933352.

253339736832 is a `hidden beast` number, since 2 + 533 + 3 + 9 + 73 + 6 + 8 + 32 = 666.

253339736832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1819848 + ... + 1954104.

Almost surely, 2^253339736832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253339736832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464873158288).

253339736832 is an abundant number, since it is smaller than the sum of its proper divisors (676406579744).

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

253339736832 is a wasteful number, since it uses less digits than its factorization.

253339736832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134305 (or 134282 counting only the distinct ones).

The product of its digits is 14696640, while the sum is 54.

The spelling of 253339736832 in words is "two hundred fifty-three billion, three hundred thirty-nine million, seven hundred thirty-six thousand, eight hundred thirty-two".