352164416688 has 400 divisors, whose sum is σ = 1191575668800. Its totient is φ = 100370866176.

The previous prime is 352164416677. The next prime is 352164416731. The reversal of 352164416688 is 886614461253.

352164416688 is a `hidden beast` number, since 3 + 5 + 2 + 164 + 416 + 68 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 256491970 + ... + 256493342.

It is an arithmetic number, because the mean of its divisors is an integer number (2978939172).

Almost surely, 2^352164416688 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 352164416688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595787834400).

352164416688 is an abundant number, since it is smaller than the sum of its proper divisors (839411252112).

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

352164416688 is a wasteful number, since it uses less digits than its factorization.

352164416688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991 (or 1962 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 352164416688 in words is "three hundred fifty-two billion, one hundred sixty-four million, four hundred sixteen thousand, six hundred eighty-eight".