91716379910064 has 800 divisors, whose sum is σ = 334187870607360. Its totient is φ = 23637089654784.

The previous prime is 91716379910053. The next prime is 91716379910069. The reversal of 91716379910064 is 46001997361719.

91716379910064 is a `hidden beast` number, since 9 + 171 + 6 + 379 + 91 + 0 + 0 + 6 + 4 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 91716379909983 and 91716379910010.

It is not an unprimeable number, because it can be changed into a prime (91716379910069) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3619561107 + ... + 3619586445.

Almost surely, 2^{91716379910064} is an apocalyptic number.

91716379910064 is a gapful number since it is divisible by the number (94) 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 91716379910064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167093935303680).

91716379910064 is an abundant number, since it is smaller than the sum of its proper divisors (242471490697296).

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

91716379910064 is a wasteful number, since it uses less digits than its factorization.

91716379910064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26079 (or 26064 counting only the distinct ones).

The product of its (nonzero) digits is 15431472, while the sum is 63.

The spelling of 91716379910064 in words is "ninety-one trillion, seven hundred sixteen billion, three hundred seventy-nine million, nine hundred ten thousand, sixty-four".