157079846889 has 99 divisors (see below), whose sum is σ = 275268143703. Its totient is φ = 89374676832.

The previous prime is 157079846849. The next prime is 157079846923. The reversal of 157079846889 is 988648970751.

The square root of 157079846889 is 396333.

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

157079846889 is a `hidden beast` number, since 1 + 5 + 70 + 7 + 98 + 468 + 8 + 9 = 666.

157079846889 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 31899746025 + 125180100864 = 178605^2 + 353808^2 .

It is not a de Polignac number, because 157079846889 - 2²³ = 157071458281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (157079846849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 674162317 + ... + 674162549.

Almost surely, 2^157079846889 is an apocalyptic number.

157079846889 is the 396333-rd square number.

157079846889 is the 198167-th centered octagonal number.

It is an amenable number.

157079846889 is a deficient number, since it is larger than the sum of its proper divisors (118188296814).

157079846889 is an frugal number, since it uses more digits than its factorization.

157079846889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 72.

The spelling of 157079846889 in words is "one hundred fifty-seven billion, seventy-nine million, eight hundred forty-six thousand, eight hundred eighty-nine".