90632854917 has 48 divisors (see below), whose sum is σ = 146418120576. Its totient is φ = 53545536000.

The previous prime is 90632854901. The next prime is 90632854937. The reversal of 90632854917 is 71945823609.

90632854917 is a `hidden beast` number, since 9 + 0 + 63 + 28 + 549 + 17 = 666.

It is not a de Polignac number, because 90632854917 - 2⁴ = 90632854901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90632854937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5353488 + ... + 5370390.

It is an arithmetic number, because the mean of its divisors is an integer number (3050377512).

It is a 2-persistent number, because it is pandigital, and so is 2⋅90632854917 = 181265709834, but 3⋅90632854917 = 271898564751 is not.

Almost surely, 2^90632854917 is an apocalyptic number.

It is an amenable number.

90632854917 is a deficient number, since it is larger than the sum of its proper divisors (55785265659).

90632854917 is a wasteful number, since it uses less digits than its factorization.

90632854917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18282 (or 18279 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

It can be divided in two parts, 90632 and 854917, that added together give a palindrome (945549).

The spelling of 90632854917 in words is "ninety billion, six hundred thirty-two million, eight hundred fifty-four thousand, nine hundred seventeen".