90289729384 has 192 divisors, whose sum is σ = 194809795200. Its totient is φ = 39013134336.

The previous prime is 90289729381. The next prime is 90289729391. The reversal of 90289729384 is 48392798209.

It is not an unprimeable number, because it can be changed into a prime (90289729381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 504411807 + ... + 504411985.

It is an arithmetic number, because the mean of its divisors is an integer number (1014634350).

Almost surely, 2^90289729384 is an apocalyptic number.

90289729384 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

90289729384 is an abundant number, since it is smaller than the sum of its proper divisors (104520065816).

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

90289729384 is a wasteful number, since it uses less digits than its factorization.

90289729384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 61.

The spelling of 90289729384 in words is "ninety billion, two hundred eighty-nine million, seven hundred twenty-nine thousand, three hundred eighty-four".