79148256889 has 81 divisors (see below), whose sum is σ = 97542407277. Its totient is φ = 64170931968.

The previous prime is 79148256883. The next prime is 79148256899. The reversal of 79148256889 is 98865284197.

The square root of 79148256889 is 281333.

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

It can be written as a sum of positive squares in 4 ways, for example, as 714653289 + 78433603600 = 26733^2 + 280060^2 .

It is not a de Polignac number, because 79148256889 - 2²⁹ = 78611385977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (67).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (79148256883) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1181317234 + ... + 1181317300.

Almost surely, 2^79148256889 is an apocalyptic number.

79148256889 is the 281333-rd square number.

79148256889 is the 140667-th centered octagonal number.

It is an amenable number.

79148256889 is a deficient number, since it is larger than the sum of its proper divisors (18394150388).

79148256889 is a wasteful number, since it uses less digits than its factorization.

79148256889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 116 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 67.

The spelling of 79148256889 in words is "seventy-nine billion, one hundred forty-eight million, two hundred fifty-six thousand, eight hundred eighty-nine".