90810596448 has 384 divisors, whose sum is σ = 318424296960. Its totient is φ = 24809379840.

The previous prime is 90810596419. The next prime is 90810596473. The reversal of 90810596448 is 84469501809.

90810596448 is a `hidden beast` number, since 9 + 0 + 8 + 1 + 0 + 596 + 4 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 90810596394 and 90810596403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5304190 + ... + 5321282.

It is an arithmetic number, because the mean of its divisors is an integer number (829229940).

Almost surely, 2^90810596448 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 90810596448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159212148480).

90810596448 is an abundant number, since it is smaller than the sum of its proper divisors (227613700512).

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

90810596448 is a wasteful number, since it uses less digits than its factorization.

90810596448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17179 (or 17165 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 90810596448 in words is "ninety billion, eight hundred ten million, five hundred ninety-six thousand, four hundred forty-eight".