90808206336 has 297 divisors, whose sum is σ = 272174088069. Its totient is φ = 29160456192.

The previous prime is 90808206323. The next prime is 90808206347. The reversal of 90808206336 is 63360280809.

The square root of 90808206336 is 301344.

It is a perfect power (a square), and thus also a powerful number.

90808206336 is a `hidden beast` number, since 9 + 0 + 8 + 0 + 8 + 2 + 0 + 633 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51547161600 + 39261044736 = 227040^2 + 198144^2 .

It is a super-2 number, since 2×90808206336² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90808206291 and 90808206300.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1243947996 + ... + 1243948068.

Almost surely, 2^90808206336 is an apocalyptic number.

90808206336 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

90808206336 is the 301344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90808206336

90808206336 is an abundant number, since it is smaller than the sum of its proper divisors (181365881733).

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

90808206336 is an equidigital number, since it uses as much as digits as its factorization.

90808206336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 90808206336 in words is "ninety billion, eight hundred eight million, two hundred six thousand, three hundred thirty-six".