90446805504 has 240 divisors, whose sum is σ = 287304361344. Its totient is φ = 27163852800.

The previous prime is 90446805461. The next prime is 90446805521. The reversal of 90446805504 is 40550864409.

90446805504 is a `hidden beast` number, since 90 + 4 + 4 + 6 + 8 + 0 + 550 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 90446805504.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5719849 + ... + 5735639.

Almost surely, 2^90446805504 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 90446805504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143652180672).

90446805504 is an abundant number, since it is smaller than the sum of its proper divisors (196857555840).

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

90446805504 is a wasteful number, since it uses less digits than its factorization.

90446805504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15939 (or 15920 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 90446805504 in words is "ninety billion, four hundred forty-six million, eight hundred five thousand, five hundred four".