90648806400 has 528 divisors, whose sum is σ = 334748366400. Its totient is φ = 24038277120.

The previous prime is 90648806357. The next prime is 90648806441. The reversal of 90648806400 is 460884609.

It is a happy number.

It is a super-2 number, since 2×90648806400² (a number of 23 digits) contains 22 as substring.

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

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, 216345391 + ... + 216345809.

Almost surely, 2^90648806400 is an apocalyptic number.

90648806400 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 90648806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167374183200).

90648806400 is an abundant number, since it is smaller than the sum of its proper divisors (244099560000).

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

90648806400 is a wasteful number, since it uses less digits than its factorization.

90648806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 90648806400 in words is "ninety billion, six hundred forty-eight million, eight hundred six thousand, four hundred".