45205622650254 has 128 divisors (see below), whose sum is σ = 103433327903232. Its totient is φ = 13049895536640.

The previous prime is 45205622650127. The next prime is 45205622650259.

45205622650254 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45205622650259) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23496949 + ... + 25347935.

It is an arithmetic number, because the mean of its divisors is an integer number (808072874244).

Almost surely, 2^{45205622650254} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45205622650254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51716663951616).

45205622650254 is an abundant number, since it is smaller than the sum of its proper divisors (58227705252978).

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

45205622650254 is a wasteful number, since it uses less digits than its factorization.

45205622650254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851250.

The product of its (nonzero) digits is 5760000, while the sum is 48.

The spelling of 45205622650254 in words is "forty-five trillion, two hundred five billion, six hundred twenty-two million, six hundred fifty thousand, two hundred fifty-four".