73831214961 has 135 divisors (see below), whose sum is σ = 136004819049. Its totient is φ = 39792704112.

The previous prime is 73831214921. The next prime is 73831214969. The reversal of 73831214961 is 16941213837.

The square root of 73831214961 is 271719.

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

73831214961 is a `hidden beast` number, since 7 + 38 + 3 + 121 + 496 + 1 = 666.

It is not a de Polignac number, because 73831214961 - 2²³ = 73822826353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (73831214969) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 325247530 + ... + 325247756.

Almost surely, 2^73831214961 is an apocalyptic number.

73831214961 is the 271719-th square number.

73831214961 is the 135860-th centered octagonal number.

It is an amenable number.

73831214961 is a deficient number, since it is larger than the sum of its proper divisors (62173604088).

73831214961 is an equidigital number, since it uses as much as digits as its factorization.

73831214961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 256 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 73831214961 in words is "seventy-three billion, eight hundred thirty-one million, two hundred fourteen thousand, nine hundred sixty-one".