351618164352 has 1280 divisors, whose sum is σ = 1358528371200. Its totient is φ = 87787929600.

The previous prime is 351618164329. The next prime is 351618164369. The reversal of 351618164352 is 253461816153.

351618164352 is a `hidden beast` number, since 3 + 5 + 161 + 81 + 64 + 352 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 351618164298 and 351618164307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1942641702 + ... + 1942641882.

It is an arithmetic number, because the mean of its divisors is an integer number (1061350290).

Almost surely, 2^351618164352 is an apocalyptic number.

351618164352 is a gapful number since it is divisible by the number (32) 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 351618164352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679264185600).

351618164352 is an abundant number, since it is smaller than the sum of its proper divisors (1006910206848).

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

351618164352 is a wasteful number, since it uses less digits than its factorization.

351618164352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 306 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 351618164352 in words is "three hundred fifty-one billion, six hundred eighteen million, one hundred sixty-four thousand, three hundred fifty-two".