13340534710464 has 168 divisors, whose sum is σ = 41252021778240. Its totient is φ = 4097564577792.

The previous prime is 13340534710441. The next prime is 13340534710483. The reversal of 13340534710464 is 46401743504331.

It is a happy number.

13340534710464 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 0 + 534 + 7 + 104 + 6 + 4 = 666.

It is a super-2 number, since 2×13340534710464² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2695129 + ... + 5826215.

It is an arithmetic number, because the mean of its divisors is an integer number (245547748680).

Almost surely, 2^{13340534710464} 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 13340534710464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20626010889120).

13340534710464 is an abundant number, since it is smaller than the sum of its proper divisors (27911487067776).

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

13340534710464 is a wasteful number, since it uses less digits than its factorization.

13340534710464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131687 (or 3131674 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 13340534710464 in words is "thirteen trillion, three hundred forty billion, five hundred thirty-four million, seven hundred ten thousand, four hundred sixty-four".