90461506806 has 80 divisors (see below), whose sum is σ = 222094754640. Its totient is φ = 27292749120.

The previous prime is 90461506777. The next prime is 90461506847. The reversal of 90461506806 is 60860516409.

90461506806 is a `hidden beast` number, since 9 + 0 + 4 + 61 + 506 + 80 + 6 = 666.

It is a super-2 number, since 2×90461506806² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 297240 + ... + 518916.

It is an arithmetic number, because the mean of its divisors is an integer number (2776184433).

Almost surely, 2^90461506806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90461506806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111047377320).

90461506806 is an abundant number, since it is smaller than the sum of its proper divisors (131633247834).

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

90461506806 is a wasteful number, since it uses less digits than its factorization.

90461506806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221931 (or 221922 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 90461506806 in words is "ninety billion, four hundred sixty-one million, five hundred six thousand, eight hundred six".