90934117344 has 960 divisors, whose sum is σ = 339715031040. Its totient is φ = 23279477760.

The previous prime is 90934117333. The next prime is 90934117357. The reversal of 90934117344 is 44371143909.

It is a super-2 number, since 2×90934117344² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 90934117344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 716016609 + ... + 716016735.

It is an arithmetic number, because the mean of its divisors is an integer number (353869824).

Almost surely, 2^90934117344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90934117344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169857515520).

90934117344 is an abundant number, since it is smaller than the sum of its proper divisors (248780913696).

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

90934117344 is a wasteful number, since it uses less digits than its factorization.

90934117344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 90934117344 in words is "ninety billion, nine hundred thirty-four million, one hundred seventeen thousand, three hundred forty-four".