45347968 has 32 divisors (see below), whose sum is σ = 92555820. Its totient is φ = 22118400.

The previous prime is 45347957. The next prime is 45347969. The reversal of 45347968 is 86974354.

It can be written as a sum of positive squares in 2 ways, for example, as 31270464 + 14077504 = 5592^2 + 3752^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (45347969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 928 + ... + 9568.

Almost surely, 2^45347968 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 45347968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46277910).

45347968 is an abundant number, since it is smaller than the sum of its proper divisors (47207852).

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

45347968 is an equidigital number, since it uses as much as digits as its factorization.

45347968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8696 (or 8684 counting only the distinct ones).

The product of its digits is 725760, while the sum is 46.

The square root of 45347968 is about 6734.0899904887. The cubic root of 45347968 is about 356.6037811899.

The spelling of 45347968 in words is "forty-five million, three hundred forty-seven thousand, nine hundred sixty-eight".