90981684675 has 288 divisors, whose sum is σ = 201487104000. Its totient is φ = 40662881280.

The previous prime is 90981684667. The next prime is 90981684679. The reversal of 90981684675 is 57648618909.

90981684675 is a `hidden beast` number, since 9 + 0 + 9 + 8 + 168 + 467 + 5 = 666.

It is not a de Polignac number, because 90981684675 - 2³ = 90981684667 is a prime.

It is a super-2 number, since 2×90981684675² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90981684679) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 97934611 + ... + 97935539.

It is an arithmetic number, because the mean of its divisors is an integer number (699608000).

Almost surely, 2^90981684675 is an apocalyptic number.

90981684675 is an abundant number, since it is smaller than the sum of its proper divisors (110505419325).

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

90981684675 is an equidigital number, since it uses as much as digits as its factorization.

90981684675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 90981684675 in words is "ninety billion, nine hundred eighty-one million, six hundred eighty-four thousand, six hundred seventy-five".