90600318816 has 192 divisors, whose sum is σ = 277820928000. Its totient is φ = 25316983296.

The previous prime is 90600318811. The next prime is 90600318833. The reversal of 90600318816 is 61881300609.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90600318811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7884211 + ... + 7895693.

It is an arithmetic number, because the mean of its divisors is an integer number (1446984000).

Almost surely, 2^90600318816 is an apocalyptic number.

90600318816 is a gapful number since it is divisible by the number (96) 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 90600318816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138910464000).

90600318816 is an abundant number, since it is smaller than the sum of its proper divisors (187220609184).

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

90600318816 is a wasteful number, since it uses less digits than its factorization.

90600318816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11761 (or 11753 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 90600318816 in words is "ninety billion, six hundred million, three hundred eighteen thousand, eight hundred sixteen".