14135728972456 has 384 divisors, whose sum is σ = 36350122152960. Its totient is φ = 5085080985600.

The previous prime is 14135728972451. The next prime is 14135728972489. The reversal of 14135728972456 is 65427982753141.

14135728972456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14135728972451) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1775172331 + ... + 1775180293.

It is an arithmetic number, because the mean of its divisors is an integer number (94661776440).

Almost surely, 2^{14135728972456} 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 14135728972456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18175061076480).

14135728972456 is an abundant number, since it is smaller than the sum of its proper divisors (22214393180504).

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

14135728972456 is a wasteful number, since it uses less digits than its factorization.

14135728972456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8705 (or 8694 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 64.

The spelling of 14135728972456 in words is "fourteen trillion, one hundred thirty-five billion, seven hundred twenty-eight million, nine hundred seventy-two thousand, four hundred fifty-six".