91316947968000 has 560 divisors, whose sum is σ = 340463223541584. Its totient is φ = 24351164006400.

The previous prime is 91316947967981. The next prime is 91316947968031. The reversal of 91316947968000 is 86974961319.

91316947968000 is a `hidden beast` number, since 91 + 3 + 16 + 9 + 479 + 68 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82393527 + ... + 83494473.

Almost surely, 2^{91316947968000} is an apocalyptic number.

91316947968000 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 91316947968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170231611770792).

91316947968000 is an abundant number, since it is smaller than the sum of its proper divisors (249146275573584).

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

91316947968000 is an equidigital number, since it uses as much as digits as its factorization.

91316947968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101000 (or 1100957 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 91316947968000 in words is "ninety-one trillion, three hundred sixteen billion, nine hundred forty-seven million, nine hundred sixty-eight thousand".