90077318726031 has 128 divisors (see below), whose sum is σ = 164997366589440. Its totient is φ = 47295318334464.

The previous prime is 90077318726029. The next prime is 90077318726071. The reversal of 90077318726031 is 13062781377009.

It is not a de Polignac number, because 90077318726031 - 2¹ = 90077318726029 is a prime.

It is a super-2 number, since 2×90077318726031² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90077318726071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4011805401 + ... + 4011827853.

It is an arithmetic number, because the mean of its divisors is an integer number (1289041926480).

Almost surely, 2^{90077318726031} is an apocalyptic number.

90077318726031 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

90077318726031 is a deficient number, since it is larger than the sum of its proper divisors (74920047863409).

90077318726031 is a wasteful number, since it uses less digits than its factorization.

90077318726031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29902 (or 29896 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 90077318726031 in words is "ninety trillion, seventy-seven billion, three hundred eighteen million, seven hundred twenty-six thousand, thirty-one".