91437218496000 has 2560 divisors, whose sum is σ = 384774072883200. Its totient is φ = 21219596697600.

The previous prime is 91437218495983. The next prime is 91437218496031. The reversal of 91437218496000 is 69481273419.

91437218496000 is a `hidden beast` number, since 9 + 1 + 4 + 3 + 7 + 21 + 8 + 4 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 120788927622 + ... + 120788928378.

It is an arithmetic number, because the mean of its divisors is an integer number (150302372220).

Almost surely, 2^{91437218496000} is an apocalyptic number.

91437218496000 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 91437218496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192387036441600).

91437218496000 is an abundant number, since it is smaller than the sum of its proper divisors (293336854387200).

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

91437218496000 is a wasteful number, since it uses less digits than its factorization.

91437218496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 91437218496000 in words is "ninety-one trillion, four hundred thirty-seven billion, two hundred eighteen million, four hundred ninety-six thousand".