90442422902496 has 288 divisors, whose sum is σ = 290839787602560. Its totient is φ = 24469540107264.

The previous prime is 90442422902471. The next prime is 90442422902581. The reversal of 90442422902496 is 69420922424409.

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

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, 197560455 + ... + 198017721.

It is an arithmetic number, because the mean of its divisors is an integer number (1009860373620).

Almost surely, 2^{90442422902496} is an apocalyptic number.

90442422902496 is a gapful number since it is divisible by the number (96) 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 90442422902496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145419893801280).

90442422902496 is an abundant number, since it is smaller than the sum of its proper divisors (200397364700064).

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

90442422902496 is a wasteful number, since it uses less digits than its factorization.

90442422902496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459526 (or 459511 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 57.

The spelling of 90442422902496 in words is "ninety trillion, four hundred forty-two billion, four hundred twenty-two million, nine hundred two thousand, four hundred ninety-six".