16167631104 has 135 divisors (see below), whose sum is σ = 48263609163. Its totient is φ = 5383107072.

The previous prime is 16167631033. The next prime is 16167631133. The reversal of 16167631104 is 40113676161.

The square root of 16167631104 is 127152.

It is a perfect power (a square), and thus also a powerful number.

16167631104 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 7 + 631 + 10 + 4 = 666.

It is a super-2 number, since 2×16167631104² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 18309447 + ... + 18310329.

Almost surely, 2^16167631104 is an apocalyptic number.

16167631104 is the 127152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16167631104

16167631104 is an abundant number, since it is smaller than the sum of its proper divisors (32095978059).

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

16167631104 is an frugal number, since it uses more digits than its factorization.

16167631104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Multiplying 16167631104 by its sum of digits (36), we get a square (582034719744 = 762912²).

16167631104 divided by its sum of digits (36) gives a square (449100864 = 21192²).

The spelling of 16167631104 in words is "sixteen billion, one hundred sixty-seven million, six hundred thirty-one thousand, one hundred four".