90810986112 has 1024 divisors, whose sum is σ = 358998220800. Its totient is φ = 21897216000.

The previous prime is 90810986051. The next prime is 90810986113. The reversal of 90810986112 is 21168901809.

It is not an unprimeable number, because it can be changed into a prime (90810986113) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 226461112 + ... + 226461512.

It is an arithmetic number, because the mean of its divisors is an integer number (350584200).

Almost surely, 2^90810986112 is an apocalyptic number.

90810986112 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90810986112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179499110400).

90810986112 is an abundant number, since it is smaller than the sum of its proper divisors (268187234688).

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

90810986112 is a wasteful number, since it uses less digits than its factorization.

90810986112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 90810986112 in words is "ninety billion, eight hundred ten million, nine hundred eighty-six thousand, one hundred twelve".