454442242244454 has 64 divisors (see below), whose sum is σ = 1015787267712000. Its totient is φ = 150593861141280.

The previous prime is 454442242244437. The next prime is 454442242244467.

454442242244454 is a `hidden beast` number, since 4 + 54 + 44 + 22 + 42 + 2 + 44 + 454 = 666.

454442242244454 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×454442242244454² (a number of 30 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 454442242244454.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29513299 + ... + 42189089.

It is an arithmetic number, because the mean of its divisors is an integer number (15871676058000).

Almost surely, 2^{454442242244454} is an apocalyptic number.

454442242244454 is an abundant number, since it is smaller than the sum of its proper divisors (561345025467546).

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

454442242244454 is a wasteful number, since it uses less digits than its factorization.

454442242244454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12679690 (or 12679684 counting only the distinct ones).

The product of its digits is 104857600, while the sum is 54.

The spelling of 454442242244454 in words is "four hundred fifty-four trillion, four hundred forty-two billion, two hundred forty-two million, two hundred forty-four thousand, four hundred fifty-four".