91144399953600 has 1008 divisors, whose sum is σ = 384371124673536. Its totient is φ = 20809571328000.

The previous prime is 91144399953599. The next prime is 91144399953697. The reversal of 91144399953600 is 635999344119.

91144399953600 is a `hidden beast` number, since 9 + 1 + 1 + 4 + 4 + 3 + 9 + 99 + 536 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2479359220 + ... + 2479395980.

It is an arithmetic number, because the mean of its divisors is an integer number (381320560192).

Almost surely, 2^{91144399953600} is an apocalyptic number.

91144399953600 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 91144399953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192185562336768).

91144399953600 is an abundant number, since it is smaller than the sum of its proper divisors (293226724719936).

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

91144399953600 is a wasteful number, since it uses less digits than its factorization.

91144399953600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37716 (or 37689 counting only the distinct ones).

The product of its (nonzero) digits is 28343520, while the sum is 63.

The spelling of 91144399953600 in words is "ninety-one trillion, one hundred forty-four billion, three hundred ninety-nine million, nine hundred fifty-three thousand, six hundred".