91890457344 has 504 divisors, whose sum is σ = 319830771120. Its totient is φ = 26022076416.

The previous prime is 91890457319. The next prime is 91890457381. The reversal of 91890457344 is 44375409819.

91890457344 is a `hidden beast` number, since 9 + 189 + 0 + 457 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 813189832 + ... + 813189944.

Almost surely, 2^91890457344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91890457344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159915385560).

91890457344 is an abundant number, since it is smaller than the sum of its proper divisors (227940313776).

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

91890457344 is an frugal number, since it uses more digits than its factorization.

91890457344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 91890457344 in words is "ninety-one billion, eight hundred ninety million, four hundred fifty-seven thousand, three hundred forty-four".