45383417856 has 336 divisors, whose sum is σ = 154350313600. Its totient is φ = 12910067712.

The previous prime is 45383417843. The next prime is 45383417873. The reversal of 45383417856 is 65871438354.

45383417856 is a `hidden beast` number, since 4 + 538 + 34 + 1 + 78 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198180750 + ... + 198180978.

Almost surely, 2^45383417856 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 45383417856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77175156800).

45383417856 is an abundant number, since it is smaller than the sum of its proper divisors (108966895744).

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

45383417856 is an frugal number, since it uses more digits than its factorization.

45383417856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 241 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 45383417856 in words is "forty-five billion, three hundred eighty-three million, four hundred seventeen thousand, eight hundred fifty-six".