90375891001344 has 3584 divisors, whose sum is σ = 344126671257600. Its totient is φ = 23115815976960.

The previous prime is 90375891001339. The next prime is 90375891001421. The reversal of 90375891001344 is 44310019857309.

90375891001344 is a `hidden beast` number, since 9 + 0 + 3 + 7 + 589 + 1 + 0 + 0 + 13 + 44 = 666.

It is a super-2 number, since 2×90375891001344² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1238025904092 + ... + 1238025904164.

It is an arithmetic number, because the mean of its divisors is an integer number (96017486400).

Almost surely, 2^{90375891001344} 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 90375891001344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172063335628800).

90375891001344 is an abundant number, since it is smaller than the sum of its proper divisors (253750780256256).

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

90375891001344 is a wasteful number, since it uses less digits than its factorization.

90375891001344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 90375891001344 in words is "ninety trillion, three hundred seventy-five billion, eight hundred ninety-one million, one thousand, three hundred forty-four".