91492416000 has 1120 divisors, whose sum is σ = 357929711568. Its totient is φ = 23290675200.

The previous prime is 91492415999. The next prime is 91492416049. The reversal of 91492416000 is 61429419.

It is a happy number.

91492416000 is a `hidden beast` number, since 9 + 1 + 4 + 9 + 2 + 41 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 22730989824 + 68761426176 = 150768^2 + 262224^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1726271974 + ... + 1726272026.

Almost surely, 2^91492416000 is an apocalyptic number.

91492416000 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 91492416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178964855784).

91492416000 is an abundant number, since it is smaller than the sum of its proper divisors (266437295568).

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

91492416000 is an frugal number, since it uses more digits than its factorization.

91492416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 91492416000 in words is "ninety-one billion, four hundred ninety-two million, four hundred sixteen thousand".