90240851831 has 32 divisors (see below), whose sum is σ = 102064607232. Its totient is φ = 79162997760.

The previous prime is 90240851821. The next prime is 90240851837. The reversal of 90240851831 is 13815804209.

It is a cyclic number.

It is not a de Polignac number, because 90240851831 - 2¹⁸ = 90240589687 is a prime.

It is a super-2 number, since 2×90240851831² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90240851837) 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 31 ways as a sum of consecutive naturals, for example, 44872616 + ... + 44874626.

It is an arithmetic number, because the mean of its divisors is an integer number (3189518976).

Almost surely, 2^90240851831 is an apocalyptic number.

90240851831 is a deficient number, since it is larger than the sum of its proper divisors (11823755401).

90240851831 is a wasteful number, since it uses less digits than its factorization.

90240851831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943.

The product of its (nonzero) digits is 69120, while the sum is 41.

The spelling of 90240851831 in words is "ninety billion, two hundred forty million, eight hundred fifty-one thousand, eight hundred thirty-one".