45783392256 has 1008 divisors, whose sum is σ = 174813163200. Its totient is φ = 11444944896.

The previous prime is 45783392243. The next prime is 45783392273. The reversal of 45783392256 is 65229338754.

45783392256 is a `hidden beast` number, since 4 + 57 + 8 + 339 + 2 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×45783392256² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1578737650 + ... + 1578737678.

Almost surely, 2^45783392256 is an apocalyptic number.

45783392256 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45783392256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87406581600).

45783392256 is an abundant number, since it is smaller than the sum of its proper divisors (129029770944).

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

45783392256 is a wasteful number, since it uses less digits than its factorization.

45783392256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 83 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 45783392256 in words is "forty-five billion, seven hundred eighty-three million, three hundred ninety-two thousand, two hundred fifty-six".