90113727312 has 480 divisors, whose sum is σ = 313539932160. Its totient is φ = 24497510400.

The previous prime is 90113727257. The next prime is 90113727337. The reversal of 90113727312 is 21372731109.

It is a happy number.

It is a super-2 number, since 2×90113727312² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 224722312 + ... + 224722712.

It is an arithmetic number, because the mean of its divisors is an integer number (653208192).

Almost surely, 2^90113727312 is an apocalyptic number.

90113727312 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 90113727312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156769966080).

90113727312 is an abundant number, since it is smaller than the sum of its proper divisors (223426204848).

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

90113727312 is a wasteful number, since it uses less digits than its factorization.

90113727312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 90113727312 in words is "ninety billion, one hundred thirteen million, seven hundred twenty-seven thousand, three hundred twelve".