45742235648 has 126 divisors (see below), whose sum is σ = 97880675841. Its totient is φ = 21370896384.

The previous prime is 45742235647. The next prime is 45742235657. The reversal of 45742235648 is 84653224754.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 41864433664 + 3877801984 = 204608^2 + 62272^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=151232.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 45742235596 and 45742235605.

It is not an unprimeable number, because it can be changed into a prime (45742235641) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 329080763 + ... + 329080901.

Almost surely, 2^45742235648 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 45742235648

45742235648 is an abundant number, since it is smaller than the sum of its proper divisors (52138440193).

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

45742235648 is an frugal number, since it uses more digits than its factorization.

45742235648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 158 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 50.

Multiplying 45742235648 by its sum of digits (50), we get a square (2287111782400 = 1512320²).

The spelling of 45742235648 in words is "forty-five billion, seven hundred forty-two million, two hundred thirty-five thousand, six hundred forty-eight".