167902938144 has 72 divisors (see below), whose sum is σ = 477545835312. Its totient is φ = 55959223680.

The previous prime is 167902938143. The next prime is 167902938167. The reversal of 167902938144 is 441839209761.

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

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (167902938143) 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, 2045739 + ... + 2126229.

It is an arithmetic number, because the mean of its divisors is an integer number (6632581046).

Almost surely, 2^167902938144 is an apocalyptic number.

It is an amenable number.

167902938144 is an abundant number, since it is smaller than the sum of its proper divisors (309642897168).

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

167902938144 is a wasteful number, since it uses less digits than its factorization.

167902938144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87750 (or 87739 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 167902938144 in words is "one hundred sixty-seven billion, nine hundred two million, nine hundred thirty-eight thousand, one hundred forty-four".