152163468665856 has 396 divisors, whose sum is σ = 467969140983708. Its totient is φ = 47600413605888.

The previous prime is 152163468665821. The next prime is 152163468665861. The reversal of 152163468665856 is 658566864361251.

152163468665856 is a `hidden beast` number, since 1 + 5 + 2 + 1 + 6 + 3 + 468 + 66 + 58 + 56 = 666.

152163468665856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 130663554425856 + 21499914240000 = 11430816^2 + 4636800^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

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 35 ways as a sum of consecutive naturals, for example, 258094546 + ... + 258683438.

Almost surely, 2^{152163468665856} is an apocalyptic number.

152163468665856 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 152163468665856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233984570491854).

152163468665856 is an abundant number, since it is smaller than the sum of its proper divisors (315805672317852).

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

152163468665856 is a wasteful number, since it uses less digits than its factorization.

152163468665856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589018 (or 588974 counting only the distinct ones).

The product of its digits is 1492992000, while the sum is 72.

The spelling of 152163468665856 in words is "one hundred fifty-two trillion, one hundred sixty-three billion, four hundred sixty-eight million, six hundred sixty-five thousand, eight hundred fifty-six".