90812364489 has 288 divisors, whose sum is σ = 184006032000. Its totient is φ = 43972346880.

The previous prime is 90812364469. The next prime is 90812364523. The reversal of 90812364489 is 98446321809.

90812364489 is a `hidden beast` number, since 9 + 0 + 81 + 23 + 64 + 489 = 666.

It is not a de Polignac number, because 90812364489 - 2²³ = 90803975881 is a prime.

It is a super-2 number, since 2×90812364489² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90812364469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 222034917 + ... + 222035325.

Almost surely, 2^90812364489 is an apocalyptic number.

90812364489 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

90812364489 is an abundant number, since it is smaller than the sum of its proper divisors (93193667511).

90812364489 is a wasteful number, since it uses less digits than its factorization.

90812364489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 90812364489 in words is "ninety billion, eight hundred twelve million, three hundred sixty-four thousand, four hundred eighty-nine".