90045480960 has 408 divisors, whose sum is σ = 328788982080. Its totient is φ = 22734176256.

The previous prime is 90045480937. The next prime is 90045480961. The reversal of 90045480960 is 6908454009.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (90045480961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56032477 + ... + 56034083.

Almost surely, 2^90045480960 is an apocalyptic number.

90045480960 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 90045480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164394491040).

90045480960 is an abundant number, since it is smaller than the sum of its proper divisors (238743501120).

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

90045480960 is a wasteful number, since it uses less digits than its factorization.

90045480960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 90045480960 in words is "ninety billion, forty-five million, four hundred eighty thousand, nine hundred sixty".