90063788448 has 96 divisors (see below), whose sum is σ = 249075086400. Its totient is φ = 28416669696.

The previous prime is 90063788387. The next prime is 90063788459. The reversal of 90063788448 is 84488736009.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×90063788448² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2155338 + ... + 2196726.

It is an arithmetic number, because the mean of its divisors is an integer number (2594532150).

Almost surely, 2^90063788448 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 90063788448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124537543200).

90063788448 is an abundant number, since it is smaller than the sum of its proper divisors (159011297952).

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

90063788448 is a wasteful number, since it uses less digits than its factorization.

90063788448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42614 (or 42606 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 90063788448 in words is "ninety billion, sixty-three million, seven hundred eighty-eight thousand, four hundred forty-eight".