31544781004801 has 8 divisors (see below), whose sum is σ = 31978978719624. Its totient is φ = 31110639436800.

The previous prime is 31544781004787. The next prime is 31544781004813. The reversal of 31544781004801 is 10840018744513.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24779996158401 + 6764784846400 = 4977951^2 + 2600920^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 31544781004801 - 2²³ = 31544772616193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31544781004001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12904696 + ... + 15153241.

It is an arithmetic number, because the mean of its divisors is an integer number (3997372339953).

Almost surely, 2^{31544781004801} is an apocalyptic number.

It is an amenable number.

31544781004801 is a deficient number, since it is larger than the sum of its proper divisors (434197714823).

31544781004801 is a wasteful number, since it uses less digits than its factorization.

31544781004801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28073411.

The product of its (nonzero) digits is 430080, while the sum is 46.

The spelling of 31544781004801 in words is "thirty-one trillion, five hundred forty-four billion, seven hundred eighty-one million, four thousand, eight hundred one".