31114304000 has 160 divisors (see below), whose sum is σ = 83555808336. Its totient is φ = 11488051200.

The previous prime is 31114303991. The next prime is 31114304003. The reversal of 31114304000 is 40341113.

It can be written as a sum of positive squares in 8 ways, for example, as 525693184 + 30588610816 = 22928^2 + 174896^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 31114304000.

It is not an unprimeable number, because it can be changed into a prime (31114304003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 813302 + ... + 850698.

Almost surely, 2^31114304000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31114304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41777904168).

31114304000 is an abundant number, since it is smaller than the sum of its proper divisors (52441504336).

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

31114304000 is an equidigital number, since it uses as much as digits as its factorization.

31114304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37443 (or 37417 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 31114304000 its reverse (40341113), we get a palindrome (31154645113).

The spelling of 31114304000 in words is "thirty-one billion, one hundred fourteen million, three hundred four thousand".