90944918784 has 324 divisors, whose sum is σ = 272037546144. Its totient is φ = 29216679936.

The previous prime is 90944918699. The next prime is 90944918803. The reversal of 90944918784 is 48781944909.

It is a happy number.

90944918784 is a `hidden beast` number, since 9 + 0 + 9 + 449 + 187 + 8 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 544580269 + ... + 544580435.

It is an arithmetic number, because the mean of its divisors is an integer number (839622056).

Almost surely, 2^90944918784 is an apocalyptic number.

90944918784 is a gapful number since it is divisible by the number (94) 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 90944918784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136018773072).

90944918784 is an abundant number, since it is smaller than the sum of its proper divisors (181092627360).

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

90944918784 is a wasteful number, since it uses less digits than its factorization.

90944918784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 90944918784 in words is "ninety billion, nine hundred forty-four million, nine hundred eighteen thousand, seven hundred eighty-four".