352106456364 has 432 divisors, whose sum is σ = 1080193514400. Its totient is φ = 96061095936.

The previous prime is 352106456321. The next prime is 352106456369. The reversal of 352106456364 is 463654601253.

352106456364 is a `hidden beast` number, since 3 + 5 + 2 + 1 + 0 + 6 + 4 + 5 + 636 + 4 = 666.

352106456364 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×352106456364² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (352106456369) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 457875372 + ... + 457876140.

It is an arithmetic number, because the mean of its divisors is an integer number (2500447950).

Almost surely, 2^352106456364 is an apocalyptic number.

352106456364 is a gapful number since it is divisible by the number (34) 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 352106456364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540096757200).

352106456364 is an abundant number, since it is smaller than the sum of its proper divisors (728087058036).

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

352106456364 is a wasteful number, since it uses less digits than its factorization.

352106456364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 352106456364 in words is "three hundred fifty-two billion, one hundred six million, four hundred fifty-six thousand, three hundred sixty-four".