90444718080 has 672 divisors, whose sum is σ = 339914484000. Its totient is φ = 22167945216.

The previous prime is 90444718069. The next prime is 90444718103. The reversal of 90444718080 is 8081744409.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259153746 + ... + 259154094.

It is an arithmetic number, because the mean of its divisors is an integer number (505825125).

Almost surely, 2^90444718080 is an apocalyptic number.

90444718080 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 90444718080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169957242000).

90444718080 is an abundant number, since it is smaller than the sum of its proper divisors (249469765920).

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

90444718080 is a wasteful number, since it uses less digits than its factorization.

90444718080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 90444718080 in words is "ninety billion, four hundred forty-four million, seven hundred eighteen thousand, eighty".