16112346056100 has 162 divisors, whose sum is σ = 58748682899634. Its totient is φ = 3682821945600.

The previous prime is 16112346056083. The next prime is 16112346056111. The reversal of 16112346056100 is 165064321161.

16112346056100 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 2 + 34 + 6 + 0 + 5 + 610 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 288291677184 + 15824054378916 = 536928^2 + 3977946^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 182635561 + ... + 182723760.

Almost surely, 2^{16112346056100} is an apocalyptic number.

16112346056100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16112346056100 is an abundant number, since it is smaller than the sum of its proper divisors (42636336843534).

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

16112346056100 is a wasteful number, since it uses less digits than its factorization.

16112346056100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365359355 (or 365359338 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 16112346056100 in words is "sixteen trillion, one hundred twelve billion, three hundred forty-six million, fifty-six thousand, one hundred".