90490953216 has 160 divisors (see below), whose sum is σ = 258491312640. Its totient is φ = 28029321216.

The previous prime is 90490953173. The next prime is 90490953253. The reversal of 90490953216 is 61235909409.

It is a super-2 number, since 2×90490953216² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 2040915 + ... + 2084781.

It is an arithmetic number, because the mean of its divisors is an integer number (1615570704).

Almost surely, 2^90490953216 is an apocalyptic number.

90490953216 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 90490953216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129245656320).

90490953216 is an abundant number, since it is smaller than the sum of its proper divisors (168000359424).

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

90490953216 is a wasteful number, since it uses less digits than its factorization.

90490953216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43984 (or 43968 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 48.

The spelling of 90490953216 in words is "ninety billion, four hundred ninety million, nine hundred fifty-three thousand, two hundred sixteen".