352564466166576 has 480 divisors, whose sum is σ = 1063426836326400. Its totient is φ = 108824206233600.

The previous prime is 352564466166553. The next prime is 352564466166589. The reversal of 352564466166576 is 675661664465253.

It is a happy number.

352564466166576 is a `hidden beast` number, since 3 + 5 + 2 + 5 + 6 + 4 + 46 + 6 + 1 + 6 + 6 + 576 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39761410495 + ... + 39761419361.

It is an arithmetic number, because the mean of its divisors is an integer number (2215472575680).

Almost surely, 2^{352564466166576} is an apocalyptic number.

352564466166576 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 352564466166576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531713418163200).

352564466166576 is an abundant number, since it is smaller than the sum of its proper divisors (710862370159824).

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

352564466166576 is a wasteful number, since it uses less digits than its factorization.

352564466166576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13105 (or 13096 counting only the distinct ones).

The product of its digits is 3919104000, while the sum is 72.

The spelling of 352564466166576 in words is "three hundred fifty-two trillion, five hundred sixty-four billion, four hundred sixty-six million, one hundred sixty-six thousand, five hundred seventy-six".