352650928896 has 432 divisors, whose sum is σ = 1270109288448. Its totient is φ = 91769241600.

The previous prime is 352650928873. The next prime is 352650928961. The reversal of 352650928896 is 698829056253.

352650928896 is a `hidden beast` number, since 3 + 5 + 26 + 509 + 28 + 89 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8478711 + ... + 8520201.

Almost surely, 2^352650928896 is an apocalyptic number.

352650928896 is a gapful number since it is divisible by the number (36) 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 352650928896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635054644224).

352650928896 is an abundant number, since it is smaller than the sum of its proper divisors (917458359552).

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

352650928896 is a wasteful number, since it uses less digits than its factorization.

352650928896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41568 (or 41551 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 352650928896 in words is "three hundred fifty-two billion, six hundred fifty million, nine hundred twenty-eight thousand, eight hundred ninety-six".