91717332715008 has 4800 divisors, whose sum is σ = 403087515747840. Its totient is φ = 20160766771200.

The previous prime is 91717332715007. The next prime is 91717332715049. The reversal of 91717332715008 is 80051723371719.

91717332715008 is a `hidden beast` number, since 91 + 7 + 17 + 3 + 32 + 7 + 1 + 500 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91717332715007) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2958623635953 + ... + 2958623635983.

Almost surely, 2^{91717332715008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91717332715008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201543757873920).

91717332715008 is an abundant number, since it is smaller than the sum of its proper divisors (311370183032832).

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

91717332715008 is a wasteful number, since it uses less digits than its factorization.

91717332715008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The spelling of 91717332715008 in words is "ninety-one trillion, seven hundred seventeen billion, three hundred thirty-two million, seven hundred fifteen thousand, eight".