152898696864 has 288 divisors, whose sum is σ = 472553040960. Its totient is φ = 46707204096.

The previous prime is 152898696851. The next prime is 152898696887. The reversal of 152898696864 is 468696898251.

152898696864 is a `hidden beast` number, since 1 + 528 + 9 + 8 + 6 + 96 + 8 + 6 + 4 = 666.

152898696864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 152898696792 and 152898696801.

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 47 ways as a sum of consecutive naturals, for example, 81894459 + ... + 81896325.

It is an arithmetic number, because the mean of its divisors is an integer number (1640809170).

Almost surely, 2^152898696864 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 152898696864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236276520480).

152898696864 is an abundant number, since it is smaller than the sum of its proper divisors (319654344096).

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

152898696864 is a wasteful number, since it uses less digits than its factorization.

152898696864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2321 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 72.

The spelling of 152898696864 in words is "one hundred fifty-two billion, eight hundred ninety-eight million, six hundred ninety-six thousand, eight hundred sixty-four".