45442533524454 has 256 divisors, whose sum is σ = 114124242124800. Its totient is φ = 13282039411200.

The previous prime is 45442533524449. The next prime is 45442533524461.

45442533524454 is a `hidden beast` number, since 4 + 5 + 4 + 4 + 2 + 533 + 52 + 4 + 4 + 54 = 666.

45442533524454 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×45442533524454² (a number of 28 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 45442533524454.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3854649592 + ... + 3854661380.

It is an arithmetic number, because the mean of its divisors is an integer number (445797820800).

Almost surely, 2^{45442533524454} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45442533524454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57062121062400).

45442533524454 is an abundant number, since it is smaller than the sum of its proper divisors (68681708600346).

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

45442533524454 is a wasteful number, since it uses less digits than its factorization.

45442533524454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13356 (or 13350 counting only the distinct ones).

The product of its digits is 92160000, while the sum is 54.

The spelling of 45442533524454 in words is "forty-five trillion, four hundred forty-two billion, five hundred thirty-three million, five hundred twenty-four thousand, four hundred fifty-four".