90119731968 has 864 divisors, whose sum is σ = 339414147072. Its totient is φ = 22383820800.

The previous prime is 90119731957. The next prime is 90119731969. The reversal of 90119731968 is 86913791109.

It is a happy number.

It is a super-2 number, since 2×90119731968² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90119731969) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 195487258 + ... + 195487718.

It is an arithmetic number, because the mean of its divisors is an integer number (392840448).

Almost surely, 2^90119731968 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 90119731968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169707073536).

90119731968 is an abundant number, since it is smaller than the sum of its proper divisors (249294415104).

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

90119731968 is a wasteful number, since it uses less digits than its factorization.

90119731968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 54.

The spelling of 90119731968 in words is "ninety billion, one hundred nineteen million, seven hundred thirty-one thousand, nine hundred sixty-eight".