90617294084850 has 576 divisors, whose sum is σ = 267651520456320. Its totient is φ = 21846234009600.

The previous prime is 90617294084843. The next prime is 90617294084851. The reversal of 90617294084850 is 5848049271609.

90617294084850 is a `hidden beast` number, since 9 + 0 + 6 + 172 + 9 + 408 + 4 + 8 + 50 = 666.

It is a super-2 number, since 2×90617294084850² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90617294084851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 54359503717 + ... + 54359505383.

It is an arithmetic number, because the mean of its divisors is an integer number (464672778570).

Almost surely, 2^{90617294084850} is an apocalyptic number.

90617294084850 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90617294084850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133825760228160).

90617294084850 is an abundant number, since it is smaller than the sum of its proper divisors (177034226371470).

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

90617294084850 is a wasteful number, since it uses less digits than its factorization.

90617294084850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 90617294084850 in words is "ninety trillion, six hundred seventeen billion, two hundred ninety-four million, eighty-four thousand, eight hundred fifty".