13377704206464 has 288 divisors, whose sum is σ = 41708971860660. Its totient is φ = 4113823334400.

The previous prime is 13377704206459. The next prime is 13377704206481. The reversal of 13377704206464 is 46460240777331.

13377704206464 is a `hidden beast` number, since 1 + 3 + 3 + 77 + 70 + 42 + 0 + 6 + 464 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1201233536064 + 12176470670400 = 1096008^2 + 3489480^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 13377704206464.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 350614012 + ... + 350652164.

Almost surely, 2^{13377704206464} 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 13377704206464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20854485930330).

13377704206464 is an abundant number, since it is smaller than the sum of its proper divisors (28331267654196).

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

13377704206464 is a wasteful number, since it uses less digits than its factorization.

13377704206464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40000 (or 39972 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 54.

The spelling of 13377704206464 in words is "thirteen trillion, three hundred seventy-seven billion, seven hundred four million, two hundred six thousand, four hundred sixty-four".