90919818894268 has 96 divisors (see below), whose sum is σ = 198579243340800. Its totient is φ = 35465073025536.

The previous prime is 90919818894259. The next prime is 90919818894269. The reversal of 90919818894268 is 86249881891909.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 90919818894191 and 90919818894200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90919818894269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7721371 + ... + 15538957.

It is an arithmetic number, because the mean of its divisors is an integer number (2068533784800).

Almost surely, 2^{90919818894268} 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 90919818894268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99289621670400).

90919818894268 is an abundant number, since it is smaller than the sum of its proper divisors (107659424446532).

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

90919818894268 is a wasteful number, since it uses less digits than its factorization.

90919818894268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7818059 (or 7818057 counting only the distinct ones).

The product of its (nonzero) digits is 1289945088, while the sum is 82.

The spelling of 90919818894268 in words is "ninety trillion, nine hundred nineteen billion, eight hundred eighteen million, eight hundred ninety-four thousand, two hundred sixty-eight".