45228633682254 has 128 divisors (see below), whose sum is σ = 104845976446464. Its totient is φ = 12854940672000.

The previous prime is 45228633682247. The next prime is 45228633682279.

45228633682254 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, 1337673009 + ... + 1337706819.

It is an arithmetic number, because the mean of its divisors is an integer number (819109190988).

Almost surely, 2^{45228633682254} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45228633682254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52422988223232).

45228633682254 is an abundant number, since it is smaller than the sum of its proper divisors (59617342764210).

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

45228633682254 is a wasteful number, since it uses less digits than its factorization.

45228633682254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37922.

The product of its digits is 132710400, while the sum is 60.

The spelling of 45228633682254 in words is "forty-five trillion, two hundred twenty-eight billion, six hundred thirty-three million, six hundred eighty-two thousand, two hundred fifty-four".