116677579561 has 27 divisors (see below), whose sum is σ = 126160774743. Its totient is φ = 107884943040.

The previous prime is 116677579553. The next prime is 116677579567. The reversal of 116677579561 is 165975776611.

The square root of 116677579561 is 341581.

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

It can be written as a sum of positive squares in only one way, i.e., 90838946025 + 25838633536 = 301395^2 + 160744^2 .

It is not a de Polignac number, because 116677579561 - 2³ = 116677579553 is a prime.

It is a super-2 number, since 2×116677579561² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 116677579561.

It is not an unprimeable number, because it can be changed into a prime (116677579567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 412288126 + ... + 412288408.

Almost surely, 2^116677579561 is an apocalyptic number.

116677579561 is the 341581-st square number.

116677579561 is the 170791-st centered octagonal number.

It is an amenable number.

116677579561 is a deficient number, since it is larger than the sum of its proper divisors (9483195182).

116677579561 is an frugal number, since it uses more digits than its factorization.

116677579561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 371 counting only the distinct ones).

The product of its digits is 16669800, while the sum is 61.

The spelling of 116677579561 in words is "one hundred sixteen billion, six hundred seventy-seven million, five hundred seventy-nine thousand, five hundred sixty-one".