350101166542056 has 320 divisors, whose sum is σ = 1049835718008000. Its totient is φ = 108671748664320.

The previous prime is 350101166542033. The next prime is 350101166542069. The reversal of 350101166542056 is 650245661101053.

350101166542056 is a `hidden beast` number, since 3 + 5 + 0 + 1 + 0 + 116 + 65 + 420 + 56 = 666.

It is a super-3 number, since 3×350101166542056³ (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7697722836 + ... + 7697768316.

It is an arithmetic number, because the mean of its divisors is an integer number (3280736618775).

Almost surely, 2^{350101166542056} is an apocalyptic number.

350101166542056 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 350101166542056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524917859004000).

350101166542056 is an abundant number, since it is smaller than the sum of its proper divisors (699734551465944).

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

350101166542056 is a wasteful number, since it uses less digits than its factorization.

350101166542056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56174 (or 56161 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 350101166542056 in words is "three hundred fifty trillion, one hundred one billion, one hundred sixty-six million, five hundred forty-two thousand, fifty-six".