91614136320 has 960 divisors, whose sum is σ = 388150963200. Its totient is φ = 20225064960.

The previous prime is 91614136319. The next prime is 91614136441. The reversal of 91614136320 is 2363141619.

91614136320 is a `hidden beast` number, since 9 + 1 + 6 + 1 + 4 + 13 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 179988226 + ... + 179988734.

It is an arithmetic number, because the mean of its divisors is an integer number (404323920).

Almost surely, 2^91614136320 is an apocalyptic number.

91614136320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91614136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194075481600).

91614136320 is an abundant number, since it is smaller than the sum of its proper divisors (296536826880).

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

91614136320 is a wasteful number, since it uses less digits than its factorization.

91614136320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Adding to 91614136320 its reverse (2363141619), we get a palindrome (93977277939).

The spelling of 91614136320 in words is "ninety-one billion, six hundred fourteen million, one hundred thirty-six thousand, three hundred twenty".