91417116672000 has 2432 divisors, whose sum is σ = 400437827712000. Its totient is φ = 20135175782400.

The previous prime is 91417116671983. The next prime is 91417116672019. The reversal of 91417116672000 is 27661171419.

91417116672000 is a `hidden beast` number, since 9 + 1 + 417 + 1 + 166 + 72 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 179601407746 + ... + 179601408254.

Almost surely, 2^{91417116672000} is an apocalyptic number.

91417116672000 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 91417116672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200218913856000).

91417116672000 is an abundant number, since it is smaller than the sum of its proper divisors (309020711040000).

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

91417116672000 is an frugal number, since it uses more digits than its factorization.

91417116672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 91417116672000 in words is "ninety-one trillion, four hundred seventeen billion, one hundred sixteen million, six hundred seventy-two thousand".