13031449288704 has 1568 divisors, whose sum is σ = 51612319570176. Its totient is φ = 3183775580160.

The previous prime is 13031449288681. The next prime is 13031449288747. The reversal of 13031449288704 is 40788294413031.

13031449288704 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 1 + 4 + 492 + 88 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7817305279 + ... + 7817306945.

Almost surely, 2^{13031449288704} is an apocalyptic number.

13031449288704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13031449288704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25806159785088).

13031449288704 is an abundant number, since it is smaller than the sum of its proper divisors (38580870281472).

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

13031449288704 is an equidigital number, since it uses as much as digits as its factorization.

13031449288704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 13031449288704 in words is "thirteen trillion, thirty-one billion, four hundred forty-nine million, two hundred eighty-eight thousand, seven hundred four".