91170361161216 has 1600 divisors, whose sum is σ = 302291680344192. Its totient is φ = 27237524963328.

The previous prime is 91170361161211. The next prime is 91170361161247. The reversal of 91170361161216 is 61216116307119.

91170361161216 is a `hidden beast` number, since 9 + 1 + 1 + 7 + 0 + 3 + 6 + 11 + 612 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91170361161211) 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, 346655365501 + ... + 346655365763.

Almost surely, 2^{91170361161216} is an apocalyptic number.

91170361161216 is a gapful number since it is divisible by the number (96) 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 91170361161216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151145840172096).

91170361161216 is an abundant number, since it is smaller than the sum of its proper divisors (211121319182976).

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

91170361161216 is a wasteful number, since it uses less digits than its factorization.

91170361161216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 91170361161216 in words is "ninety-one trillion, one hundred seventy billion, three hundred sixty-one million, one hundred sixty-one thousand, two hundred sixteen".