13714411453824 has 128 divisors (see below), whose sum is σ = 36466963850880. Its totient is φ = 4566697390080.

The previous prime is 13714411453819. The next prime is 13714411453843. The reversal of 13714411453824 is 42835411441731.

13714411453824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2331983364 + ... + 2331989244.

It is an arithmetic number, because the mean of its divisors is an integer number (284898155085).

Almost surely, 2^{13714411453824} is an apocalyptic number.

It is an amenable number.

13714411453824 is an abundant number, since it is smaller than the sum of its proper divisors (22752552397056).

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

13714411453824 is a wasteful number, since it uses less digits than its factorization.

13714411453824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11208 (or 11196 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The spelling of 13714411453824 in words is "thirteen trillion, seven hundred fourteen billion, four hundred eleven million, four hundred fifty-three thousand, eight hundred twenty-four".