45204455440254 has 128 divisors (see below), whose sum is σ = 106474847431680. Its totient is φ = 12649740364800.

The previous prime is 45204455440189. The next prime is 45204455440321.

45204455440254 is nontrivially palindromic in base 10.

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, 540416274 + ... + 540499914.

It is an arithmetic number, because the mean of its divisors is an integer number (831834745560).

Almost surely, 2^{45204455440254} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45204455440254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53237423715840).

45204455440254 is an abundant number, since it is smaller than the sum of its proper divisors (61270391991426).

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

45204455440254 is a wasteful number, since it uses less digits than its factorization.

45204455440254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95986.

The product of its (nonzero) digits is 10240000, while the sum is 48.

It can be divided in two parts, 4520445 and 5440254, that added together give a palindrome (9960699).

The spelling of 45204455440254 in words is "forty-five trillion, two hundred four billion, four hundred fifty-five million, four hundred forty thousand, two hundred fifty-four".