90812648674935 has 96 divisors (see below), whose sum is σ = 184111891488000. Its totient is φ = 42116010615360.

The previous prime is 90812648674919. The next prime is 90812648675011. The reversal of 90812648674935 is 53947684621809.

90812648674935 is a `hidden beast` number, since 9 + 0 + 8 + 12 + 64 + 8 + 67 + 493 + 5 = 666.

It is not a de Polignac number, because 90812648674935 - 2⁴ = 90812648674919 is a prime.

It is a super-2 number, since 2×90812648674935² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 57015285 + ... + 58586414.

It is an arithmetic number, because the mean of its divisors is an integer number (1917832203000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅90812648674935 = 181625297349870, but 3⋅90812648674935 = 272437946024805 is not.

Almost surely, 2^{90812648674935} is an apocalyptic number.

90812648674935 is an abundant number, since it is smaller than the sum of its proper divisors (93299242813065).

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

90812648674935 is a wasteful number, since it uses less digits than its factorization.

90812648674935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115601770 (or 115601741 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 90812648674935 in words is "ninety trillion, eight hundred twelve billion, six hundred forty-eight million, six hundred seventy-four thousand, nine hundred thirty-five".