90328662144 has 192 divisors, whose sum is σ = 297252072000. Its totient is φ = 25791768576.

The previous prime is 90328662139. The next prime is 90328662161. The reversal of 90328662144 is 44126682309.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 90328662144.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18859302 + ... + 18864090.

It is an arithmetic number, because the mean of its divisors is an integer number (1548187875).

Almost surely, 2^90328662144 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 90328662144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148626036000).

90328662144 is an abundant number, since it is smaller than the sum of its proper divisors (206923409856).

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

90328662144 is a wasteful number, since it uses less digits than its factorization.

90328662144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7155 (or 7140 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 90328662144 in words is "ninety billion, three hundred twenty-eight million, six hundred sixty-two thousand, one hundred forty-four".