45628448256 has 540 divisors, whose sum is σ = 148352366448. Its totient is φ = 14010236928.

The previous prime is 45628448233. The next prime is 45628448267. The reversal of 45628448256 is 65284482654.

45628448256 is a `hidden beast` number, since 4 + 5 + 628 + 4 + 4 + 8 + 2 + 5 + 6 = 666.

45628448256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 970818025 + ... + 970818071.

Almost surely, 2^45628448256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45628448256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74176183224).

45628448256 is an abundant number, since it is smaller than the sum of its proper divisors (102723918192).

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

45628448256 is an frugal number, since it uses more digits than its factorization.

45628448256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 69 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 54.

The spelling of 45628448256 in words is "forty-five billion, six hundred twenty-eight million, four hundred forty-eight thousand, two hundred fifty-six".