352665631008 has 72 divisors (see below), whose sum is σ = 1024231074048. Its totient is φ = 115054031232.

The previous prime is 352665631001. The next prime is 352665631013. The reversal of 352665631008 is 800136566253.

352665631008 is a `hidden beast` number, since 3 + 5 + 2 + 6 + 6 + 5 + 631 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×352665631008² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (352665631001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13013416 + ... + 13040487.

It is an arithmetic number, because the mean of its divisors is an integer number (14225431584).

Almost surely, 2^352665631008 is an apocalyptic number.

It is an amenable number.

352665631008 is an abundant number, since it is smaller than the sum of its proper divisors (671565443040).

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

352665631008 is a wasteful number, since it uses less digits than its factorization.

352665631008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26053966 (or 26053955 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 352665631008 in words is "three hundred fifty-two billion, six hundred sixty-five million, six hundred thirty-one thousand, eight".