91953863766 has 48 divisors (see below), whose sum is σ = 206644838400. Its totient is φ = 30646473768.

The previous prime is 91953863759. The next prime is 91953863767. The reversal of 91953863766 is 66736835919.

91953863766 is a `hidden beast` number, since 9 + 1 + 9 + 538 + 6 + 37 + 66 = 666.

It is a super-2 number, since 2×91953863766² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91953863767) 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 23 ways as a sum of consecutive naturals, for example, 4479915 + ... + 4500393.

It is an arithmetic number, because the mean of its divisors is an integer number (4305100800).

Almost surely, 2^91953863766 is an apocalyptic number.

91953863766 is an abundant number, since it is smaller than the sum of its proper divisors (114690974634).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

91953863766 is a wasteful number, since it uses less digits than its factorization.

91953863766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29735 (or 29723 counting only the distinct ones).

The product of its digits is 44089920, while the sum is 63.

The spelling of 91953863766 in words is "ninety-one billion, nine hundred fifty-three million, eight hundred sixty-three thousand, seven hundred sixty-six".