90959731444801 has 8 divisors (see below), whose sum is σ = 91407175094664. Its totient is φ = 90512775475200.

The previous prime is 90959731444693. The next prime is 90959731444817. The reversal of 90959731444801 is 10844413795909.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 51567852517776 + 39391878927025 = 7181076^2 + 6276295^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-90959731444801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90959731444601) 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 7 ways as a sum of consecutive naturals, for example, 121546116 + ... + 122292181.

It is an arithmetic number, because the mean of its divisors is an integer number (11425896886833).

Almost surely, 2^{90959731444801} is an apocalyptic number.

It is an amenable number.

90959731444801 is a deficient number, since it is larger than the sum of its proper divisors (447443649863).

90959731444801 is a wasteful number, since it uses less digits than its factorization.

90959731444801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243840131.

The product of its (nonzero) digits is 39191040, while the sum is 64.

The spelling of 90959731444801 in words is "ninety trillion, nine hundred fifty-nine billion, seven hundred thirty-one million, four hundred forty-four thousand, eight hundred one".