31254304000000 has 336 divisors, whose sum is σ = 78625872872820. Its totient is φ = 12420096000000.

The previous prime is 31254303999931. The next prime is 31254304000061. The reversal of 31254304000000 is 40345213.

It can be written as a sum of positive squares in 14 ways, for example, as 31202144748544 + 52159251456 = 5585888^2 + 228384^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5023996890 + ... + 5024003110.

Almost surely, 2^{31254304000000} 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 31254304000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39312936436410).

31254304000000 is an abundant number, since it is smaller than the sum of its proper divisors (47371568872820).

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

31254304000000 is an frugal number, since it uses more digits than its factorization.

31254304000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6430 (or 6385 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 31254304000000 its reverse (40345213), we get a palindrome (31254344345213).

The spelling of 31254304000000 in words is "thirty-one trillion, two hundred fifty-four billion, three hundred four million", and thus it is an aban number.