90243664488 has 128 divisors (see below), whose sum is σ = 267587712000. Its totient is φ = 28096528320.

The previous prime is 90243664451. The next prime is 90243664513. The reversal of 90243664488 is 88446634209.

90243664488 is a `hidden beast` number, since 90 + 2 + 436 + 6 + 44 + 88 = 666.

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 31 ways as a sum of consecutive naturals, for example, 136531 + ... + 446237.

It is an arithmetic number, because the mean of its divisors is an integer number (2090529000).

Almost surely, 2^90243664488 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 90243664488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133793856000).

90243664488 is an abundant number, since it is smaller than the sum of its proper divisors (177344047512).

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

90243664488 is a wasteful number, since it uses less digits than its factorization.

90243664488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309812 (or 309802 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 90243664488 in words is "ninety billion, two hundred forty-three million, six hundred sixty-four thousand, four hundred eighty-eight".