91614459960 has 384 divisors, whose sum is σ = 326371368960. Its totient is φ = 22187520000.

The previous prime is 91614459949. The next prime is 91614459971. The reversal of 91614459960 is 6995441619.

91614459960 is a `hidden beast` number, since 9 + 1 + 6 + 1 + 44 + 599 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (91614459949) and next prime (91614459971).

It is a junction number, because it is equal to n+sod(n) for n = 91614459897 and 91614459906.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 121989585 + ... + 121990335.

It is an arithmetic number, because the mean of its divisors is an integer number (849925440).

Almost surely, 2^91614459960 is an apocalyptic number.

91614459960 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 91614459960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163185684480).

91614459960 is an abundant number, since it is smaller than the sum of its proper divisors (234756909000).

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

91614459960 is a wasteful number, since it uses less digits than its factorization.

91614459960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 91614459960 in words is "ninety-one billion, six hundred fourteen million, four hundred fifty-nine thousand, nine hundred sixty".