45617782848 has 112 divisors (see below), whose sum is σ = 131726269440. Its totient is φ = 13817612800.

The previous prime is 45617782807. The next prime is 45617782867. The reversal of 45617782848 is 84828771654.

It is a super-2 number, since 2×45617782848² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45617782791 and 45617782800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9271333 + ... + 9276251.

Almost surely, 2^45617782848 is an apocalyptic number.

45617782848 is a gapful number since it is divisible by the number (48) 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 45617782848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65863134720).

45617782848 is an abundant number, since it is smaller than the sum of its proper divisors (86108486592).

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

45617782848 is a wasteful number, since it uses less digits than its factorization.

45617782848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9336 (or 9326 counting only the distinct ones).

The product of its digits is 24084480, while the sum is 60.

The spelling of 45617782848 in words is "forty-five billion, six hundred seventeen million, seven hundred eighty-two thousand, eight hundred forty-eight".