90923363635104 has 1728 divisors, whose sum is σ = 363288701438208. Its totient is φ = 21195907891200.

The previous prime is 90923363635043. The next prime is 90923363635109. The reversal of 90923363635104 is 40153636332909.

90923363635104 is a `hidden beast` number, since 9 + 0 + 9 + 2 + 3 + 3 + 63 + 63 + 510 + 4 = 666.

It is a super-2 number, since 2×90923363635104² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90923363635109) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10459372582 + ... + 10459381274.

It is an arithmetic number, because the mean of its divisors is an integer number (210236517036).

Almost surely, 2^{90923363635104} 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 90923363635104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181644350719104).

90923363635104 is an abundant number, since it is smaller than the sum of its proper divisors (272365337803104).

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

90923363635104 is a wasteful number, since it uses less digits than its factorization.

90923363635104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8891 (or 8873 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 54.

The spelling of 90923363635104 in words is "ninety trillion, nine hundred twenty-three billion, three hundred sixty-three million, six hundred thirty-five thousand, one hundred four".