13310496448704 has 1792 divisors, whose sum is σ = 50809857638400. Its totient is φ = 3343182336000.

The previous prime is 13310496448693. The next prime is 13310496448757. The reversal of 13310496448704 is 40784469401331.

13310496448704 is a `hidden beast` number, since 1 + 3 + 3 + 104 + 96 + 448 + 7 + 0 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 88148983029 + ... + 88148983179.

It is an arithmetic number, because the mean of its divisors is an integer number (28353715200).

Almost surely, 2^{13310496448704} is an apocalyptic number.

13310496448704 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 13310496448704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25404928819200).

13310496448704 is an abundant number, since it is smaller than the sum of its proper divisors (37499361189696).

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

13310496448704 is a wasteful number, since it uses less digits than its factorization.

13310496448704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 13310496448704 in words is "thirteen trillion, three hundred ten billion, four hundred ninety-six million, four hundred forty-eight thousand, seven hundred four".