91553493952881 has 15 divisors (see below), whose sum is σ = 136765224546313. Its totient is φ = 61035605225100.

The previous prime is 91553493952829. The next prime is 91553493952927. The reversal of 91553493952881 is 18825939435519.

The square root of 91553493952881 is 9568359.

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

91553493952881 is a `hidden beast` number, since 9 + 1 + 5 + 5 + 3 + 4 + 93 + 9 + 528 + 8 + 1 = 666.

It is not a de Polignac number, because 91553493952881 - 2⁴⁵ = 56369121864049 is a prime.

It is a super-2 number, since 2×91553493952881² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (91553493962881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 85583656 + ... + 86646806.

Almost surely, 2^{91553493952881} is an apocalyptic number.

91553493952881 is the 9568359-th square number.

91553493952881 is the 4784180-th centered octagonal number.

It is an amenable number.

91553493952881 is a deficient number, since it is larger than the sum of its proper divisors (45211730593432).

91553493952881 is an frugal number, since it uses more digits than its factorization.

91553493952881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126314 (or 1063154 counting only the distinct ones).

The product of its digits is 419904000, while the sum is 72.

The spelling of 91553493952881 in words is "ninety-one trillion, five hundred fifty-three billion, four hundred ninety-three million, nine hundred fifty-two thousand, eight hundred eighty-one".