90849112596944 has 160 divisors (see below), whose sum is σ = 195597584286720. Its totient is φ = 40616142336000.

The previous prime is 90849112596833. The next prime is 90849112596959. The reversal of 90849112596944 is 44969521194809.

It is a super-2 number, since 2×90849112596944² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3571240577 + ... + 3571266015.

It is an arithmetic number, because the mean of its divisors is an integer number (1222484901792).

Almost surely, 2^{90849112596944} 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 90849112596944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97798792143360).

90849112596944 is an abundant number, since it is smaller than the sum of its proper divisors (104748471689776).

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

90849112596944 is a wasteful number, since it uses less digits than its factorization.

90849112596944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29789 (or 29783 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 71.

The spelling of 90849112596944 in words is "ninety trillion, eight hundred forty-nine billion, one hundred twelve million, five hundred ninety-six thousand, nine hundred forty-four".