90910344960 has 108 divisors (see below), whose sum is σ = 314540363592. Its totient is φ = 24242755584.

The previous prime is 90910344911. The next prime is 90910344961. The reversal of 90910344960 is 6944301909.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90910344961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3934242 + ... + 3957281.

It is an arithmetic number, because the mean of its divisors is an integer number (2912410774).

Almost surely, 2^90910344960 is an apocalyptic number.

90910344960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90910344960 is an abundant number, since it is smaller than the sum of its proper divisors (223630018632).

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

90910344960 is a wasteful number, since it uses less digits than its factorization.

90910344960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7891550 (or 7891533 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 90910344960 in words is "ninety billion, nine hundred ten million, three hundred forty-four thousand, nine hundred sixty".