2456455828014 has 32 divisors (see below), whose sum is σ = 5460481668000. Its totient is φ = 818564968512.

The previous prime is 2456455827983. The next prime is 2456455828019. The reversal of 2456455828014 is 4108285546542.

2456455828014 is a `hidden beast` number, since 2 + 4 + 5 + 6 + 4 + 558 + 2 + 80 + 1 + 4 = 666.

2456455828014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2456455828019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6869599 + ... + 7218330.

It is an arithmetic number, because the mean of its divisors is an integer number (170640052125).

Almost surely, 2^{2456455828014} is an apocalyptic number.

2456455828014 is an abundant number, since it is smaller than the sum of its proper divisors (3004025839986).

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

2456455828014 is a wasteful number, since it uses less digits than its factorization.

2456455828014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14091169 (or 14091163 counting only the distinct ones).

The product of its (nonzero) digits is 12288000, while the sum is 54.

The spelling of 2456455828014 in words is "two trillion, four hundred fifty-six billion, four hundred fifty-five million, eight hundred twenty-eight thousand, fourteen".