16442625412125 has 256 divisors, whose sum is σ = 34186829414400. Its totient is φ = 7729552224000.

The previous prime is 16442625412093. The next prime is 16442625412141. The reversal of 16442625412125 is 52121452624461.

16442625412125 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 2 + 62 + 541 + 21 + 25 = 666.

It is not a de Polignac number, because 16442625412125 - 2⁵ = 16442625412093 is a prime.

It is a super-3 number, since 3×16442625412125³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 186657591 + ... + 186745659.

It is an arithmetic number, because the mean of its divisors is an integer number (133542302400).

Almost surely, 2^{16442625412125} is an apocalyptic number.

16442625412125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16442625412125 is an abundant number, since it is smaller than the sum of its proper divisors (17744204002275).

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

16442625412125 is a wasteful number, since it uses less digits than its factorization.

16442625412125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88258 (or 88242 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 16442625412125 in words is "sixteen trillion, four hundred forty-two billion, six hundred twenty-five million, four hundred twelve thousand, one hundred twenty-five".