90344570752 has 128 divisors (see below), whose sum is σ = 195949670400. Its totient is φ = 41333483520.

The previous prime is 90344570711. The next prime is 90344570759. The reversal of 90344570752 is 25707544309.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90344570759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57070953 + ... + 57072535.

It is an arithmetic number, because the mean of its divisors is an integer number (1530856800).

Almost surely, 2^90344570752 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 90344570752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97974835200).

90344570752 is an abundant number, since it is smaller than the sum of its proper divisors (105605099648).

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

90344570752 is a wasteful number, since it uses less digits than its factorization.

90344570752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 46.

The spelling of 90344570752 in words is "ninety billion, three hundred forty-four million, five hundred seventy thousand, seven hundred fifty-two".