90849734730792 has 48 divisors (see below), whose sum is σ = 246051836634240. Its totient is φ = 30283186850208.

The previous prime is 90849734730791. The next prime is 90849734730823. The reversal of 90849734730792 is 29703743794809.

90849734730792 is a `hidden beast` number, since 9 + 0 + 8 + 497 + 3 + 47 + 3 + 0 + 7 + 92 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 90849734730792.

It is not an unprimeable number, because it can be changed into a prime (90849734730791) 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 11 ways as a sum of consecutive naturals, for example, 53957623 + ... + 55615865.

It is an arithmetic number, because the mean of its divisors is an integer number (5126079929880).

Almost surely, 2^{90849734730792} is an apocalyptic number.

It is an amenable number.

90849734730792 is an abundant number, since it is smaller than the sum of its proper divisors (155202101903448).

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

90849734730792 is a wasteful number, since it uses less digits than its factorization.

90849734730792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419182 (or 2419175 counting only the distinct ones).

The product of its (nonzero) digits is 576108288, while the sum is 72.

The spelling of 90849734730792 in words is "ninety trillion, eight hundred forty-nine billion, seven hundred thirty-four million, seven hundred thirty thousand, seven hundred ninety-two".