91884129955641 has 57 divisors (see below), whose sum is σ = 138109786612581. Its totient is φ = 61130304118332.

The previous prime is 91884129955613. The next prime is 91884129955697. The reversal of 91884129955641 is 14655992148819.

It is a happy number.

The square root of 91884129955641 is 9585621.

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

91884129955641 is a `hidden beast` number, since 9 + 1 + 8 + 8 + 4 + 1 + 29 + 9 + 556 + 41 = 666.

It is not a de Polignac number, because 91884129955641 - 2²³ = 91884121567033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 91884129955641.

It is not an unprimeable number, because it can be changed into a prime (91884129955141) by changing a digit.

It is a polite number, since it can be written in 56 ways as a sum of consecutive naturals, for example, 188673777900 + ... + 188673778386.

Almost surely, 2^{91884129955641} is an apocalyptic number.

91884129955641 is the 9585621-st square number.

91884129955641 is the 4792811-st centered octagonal number.

It is an amenable number.

91884129955641 is a deficient number, since it is larger than the sum of its proper divisors (46225656656940).

91884129955641 is an frugal number, since it uses more digits than its factorization.

91884129955641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 490 counting only the distinct ones).

The product of its digits is 223948800, while the sum is 72.

The spelling of 91884129955641 in words is "ninety-one trillion, eight hundred eighty-four billion, one hundred twenty-nine million, nine hundred fifty-five thousand, six hundred forty-one".