90508368384 has 800 divisors, whose sum is σ = 331540387200. Its totient is φ = 24007311360.

The previous prime is 90508368383. The next prime is 90508368439. The reversal of 90508368384 is 48386380509.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 90508368384.

It is not an unprimeable number, because it can be changed into a prime (90508368383) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 336462202 + ... + 336462470.

It is an arithmetic number, because the mean of its divisors is an integer number (414425484).

Almost surely, 2^90508368384 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 90508368384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165770193600).

90508368384 is an abundant number, since it is smaller than the sum of its proper divisors (241032018816).

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

90508368384 is a wasteful number, since it uses less digits than its factorization.

90508368384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 90508368384 in words is "ninety billion, five hundred eight million, three hundred sixty-eight thousand, three hundred eighty-four".