152439311104896 has 256 divisors, whose sum is σ = 443019300894720. Its totient is φ = 46233953894400.

The previous prime is 152439311104859. The next prime is 152439311104943. The reversal of 152439311104896 is 698401113934251.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197328031 + ... + 198099041.

It is an arithmetic number, because the mean of its divisors is an integer number (1730544144120).

Almost surely, 2^{152439311104896} is an apocalyptic number.

152439311104896 is a gapful number since it is divisible by the number (16) 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 152439311104896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221509650447360).

152439311104896 is an abundant number, since it is smaller than the sum of its proper divisors (290579989789824).

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

152439311104896 is a wasteful number, since it uses less digits than its factorization.

152439311104896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772053 (or 772041 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 57.

The spelling of 152439311104896 in words is "one hundred fifty-two trillion, four hundred thirty-nine billion, three hundred eleven million, one hundred four thousand, eight hundred ninety-six".