14044972164192 has 72 divisors (see below), whose sum is σ = 40045773516840. Its totient is φ = 4669304693760.

The previous prime is 14044972164151. The next prime is 14044972164193. The reversal of 14044972164192 is 29146127944041.

14044972164192 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 4 + 9 + 7 + 216 + 419 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×14044972164192² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14044972164193) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64227609 + ... + 64445912.

It is an arithmetic number, because the mean of its divisors is an integer number (556191298845).

Almost surely, 2^{14044972164192} is an apocalyptic number.

14044972164192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14044972164192 is an abundant number, since it is smaller than the sum of its proper divisors (26000801352648).

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

14044972164192 is a wasteful number, since it uses less digits than its factorization.

14044972164192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128673916 (or 128673905 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 14044972164192 in words is "fourteen trillion, forty-four billion, nine hundred seventy-two million, one hundred sixty-four thousand, one hundred ninety-two".