157679673921 has 189 divisors, whose sum is σ = 303873688209. Its totient is φ = 81482662800.

The previous prime is 157679673887. The next prime is 157679673937. The reversal of 157679673921 is 129376976751.

The square root of 157679673921 is 397089.

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

157679673921 is a `hidden beast` number, since 1 + 576 + 7 + 9 + 6 + 7 + 39 + 21 = 666.

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 157679673921 - 2³³ = 149089739329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (157679673941) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 825547936 + ... + 825548126.

Almost surely, 2^157679673921 is an apocalyptic number.

157679673921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

157679673921 is the 397089-th square number.

157679673921 is the 198545-th centered octagonal number.

It is an amenable number.

157679673921 is a deficient number, since it is larger than the sum of its proper divisors (146194014288).

157679673921 is an frugal number, since it uses more digits than its factorization.

157679673921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 212 counting only the distinct ones).

The product of its digits is 30005640, while the sum is 63.

The spelling of 157679673921 in words is "one hundred fifty-seven billion, six hundred seventy-nine million, six hundred seventy-three thousand, nine hundred twenty-one".