90846099394560 has 1248 divisors, whose sum is σ = 343922984570880. Its totient is φ = 22090824548352.

The previous prime is 90846099394483. The next prime is 90846099394571. The reversal of 90846099394560 is 6549399064809.

90846099394560 is a `hidden beast` number, since 9 + 0 + 8 + 4 + 609 + 9 + 3 + 9 + 4 + 5 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17111713186 + ... + 17111718494.

It is an arithmetic number, because the mean of its divisors is an integer number (275579314560).

Almost surely, 2^{90846099394560} is an apocalyptic number.

90846099394560 is a gapful number since it is divisible by the number (90) 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 90846099394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171961492285440).

90846099394560 is an abundant number, since it is smaller than the sum of its proper divisors (253076885176320).

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

90846099394560 is a wasteful number, since it uses less digits than its factorization.

90846099394560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5531 (or 5506 counting only the distinct ones).

The product of its (nonzero) digits is 453496320, while the sum is 72.

The spelling of 90846099394560 in words is "ninety trillion, eight hundred forty-six billion, ninety-nine million, three hundred ninety-four thousand, five hundred sixty".