90082093344 has 48 divisors (see below), whose sum is σ = 236481140448. Its totient is φ = 30025377792.

The previous prime is 90082093337. The next prime is 90082093391. The reversal of 90082093344 is 44339028009.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×90082093344² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90082093296 and 90082093305.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2479599 + ... + 2515665.

It is an arithmetic number, because the mean of its divisors is an integer number (4926690426).

Almost surely, 2^90082093344 is an apocalyptic number.

It is an amenable number.

90082093344 is an abundant number, since it is smaller than the sum of its proper divisors (146399047104).

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

90082093344 is a wasteful number, since it uses less digits than its factorization.

90082093344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62097 (or 62089 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 90082093344 in words is "ninety billion, eighty-two million, ninety-three thousand, three hundred forty-four".