90441489600 has 2352 divisors, whose sum is σ = 446149658880. Its totient is φ = 17468006400.

The previous prime is 90441489599. The next prime is 90441489613. The reversal of 90441489600 is 698414409.

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 335 ways as a sum of consecutive naturals, for example, 1706443174 + ... + 1706443226.

Almost surely, 2^90441489600 is an apocalyptic number.

90441489600 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 90441489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223074829440).

90441489600 is an abundant number, since it is smaller than the sum of its proper divisors (355708169280).

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

90441489600 is a wasteful number, since it uses less digits than its factorization.

90441489600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 90441489600 in words is "ninety billion, four hundred forty-one million, four hundred eighty-nine thousand, six hundred".