45205477450254 has 128 divisors (see below), whose sum is σ = 109687907151360. Its totient is φ = 13686276326400.

The previous prime is 45205477450247. The next prime is 45205477450283.

45205477450254 is a `hidden beast` number, since 4 + 5 + 2 + 0 + 547 + 7 + 45 + 0 + 2 + 54 = 666.

45205477450254 is nontrivially palindromic in base 10.

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 45205477450254.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4972548249 + ... + 4972557339.

It is an arithmetic number, because the mean of its divisors is an integer number (856936774620).

Almost surely, 2^{45205477450254} is an apocalyptic number.

45205477450254 is an abundant number, since it is smaller than the sum of its proper divisors (64482429701106).

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

45205477450254 is a wasteful number, since it uses less digits than its factorization.

45205477450254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15743 (or 15737 counting only the distinct ones).

The product of its (nonzero) digits is 31360000, while the sum is 54.

The spelling of 45205477450254 in words is "forty-five trillion, two hundred five billion, four hundred seventy-seven million, four hundred fifty thousand, two hundred fifty-four".