16442625673672 has 64 divisors (see below), whose sum is σ = 34185484310400. Its totient is φ = 7351077888000.

The previous prime is 16442625673667. The next prime is 16442625673681. The reversal of 16442625673672 is 27637652624461.

It is a super-3 number, since 3×16442625673672³ (a number of 41 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a self number, because there is not a number n which added to its sum of digits gives 16442625673672.

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 15 ways as a sum of consecutive naturals, for example, 158674597 + ... + 158778187.

It is an arithmetic number, because the mean of its divisors is an integer number (534148192350).

Almost surely, 2^{16442625673672} is an apocalyptic number.

It is an amenable number.

16442625673672 is an abundant number, since it is smaller than the sum of its proper divisors (17742858636728).

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

16442625673672 is a wasteful number, since it uses less digits than its factorization.

16442625673672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133238 (or 133234 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 61.

The spelling of 16442625673672 in words is "sixteen trillion, four hundred forty-two billion, six hundred twenty-five million, six hundred seventy-three thousand, six hundred seventy-two".