45225544552254 has 128 divisors (see below), whose sum is σ = 111445117056000. Its totient is φ = 13480567378560.

The previous prime is 45225544552247. The next prime is 45225544552267.

It is a happy number.

45225544552254 is a `hidden beast` number, since 4 + 5 + 2 + 25 + 5 + 4 + 45 + 522 + 54 = 666.

45225544552254 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×45225544552254² (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 45225544552254.

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, 6635592 + ... + 11596644.

It is an arithmetic number, because the mean of its divisors is an integer number (870664977000).

Almost surely, 2^{45225544552254} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45225544552254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55722558528000).

45225544552254 is an abundant number, since it is smaller than the sum of its proper divisors (66219572503746).

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

45225544552254 is a wasteful number, since it uses less digits than its factorization.

45225544552254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4961327 (or 4961321 counting only the distinct ones).

The product of its digits is 64000000, while the sum is 54.

The spelling of 45225544552254 in words is "forty-five trillion, two hundred twenty-five billion, five hundred forty-four million, five hundred fifty-two thousand, two hundred fifty-four".