13003780414464 has 308 divisors, whose sum is σ = 44542262028784. Its totient is φ = 3715364339712.

The previous prime is 13003780414459. The next prime is 13003780414501. The reversal of 13003780414464 is 46441408730031.

13003780414464 is a `hidden beast` number, since 130 + 0 + 3 + 78 + 0 + 4 + 1 + 446 + 4 = 666.

13003780414464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3981204 + ... + 6469740.

Almost surely, 2^{13003780414464} is an apocalyptic number.

13003780414464 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 13003780414464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22271131014392).

13003780414464 is an abundant number, since it is smaller than the sum of its proper divisors (31538481614320).

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

13003780414464 is an frugal number, since it uses more digits than its factorization.

13003780414464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488582 (or 2488549 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 13003780414464 in words is "thirteen trillion, three billion, seven hundred eighty million, four hundred fourteen thousand, four hundred sixty-four".