45574827648 has 256 divisors, whose sum is σ = 142790860800. Its totient is φ = 12609552384.

The previous prime is 45574827643. The next prime is 45574827721. The reversal of 45574827648 is 84672847554.

It is a junction number, because it is equal to n+sod(n) for n = 45574827591 and 45574827600.

It is not an unprimeable number, because it can be changed into a prime (45574827643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12252733 + ... + 12256451.

It is an arithmetic number, because the mean of its divisors is an integer number (557776800).

Almost surely, 2^45574827648 is an apocalyptic number.

45574827648 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 45574827648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71395430400).

45574827648 is an abundant number, since it is smaller than the sum of its proper divisors (97216033152).

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

45574827648 is a wasteful number, since it uses less digits than its factorization.

45574827648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3887 (or 3875 counting only the distinct ones).

The product of its digits is 60211200, while the sum is 60.

The spelling of 45574827648 in words is "forty-five billion, five hundred seventy-four million, eight hundred twenty-seven thousand, six hundred forty-eight".