45914688 has 140 divisors (see below), whose sum is σ = 144388332. Its totient is φ = 14376960.

The previous prime is 45914657. The next prime is 45914707. The reversal of 45914688 is 88641954.

It can be written as a sum of positive squares in 2 ways, for example, as 24681024 + 21233664 = 4968^2 + 4608^2 .

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 19 ways as a sum of consecutive naturals, for example, 87868 + ... + 88388.

Almost surely, 2^45914688 is an apocalyptic number.

45914688 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 45914688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72194166).

45914688 is an abundant number, since it is smaller than the sum of its proper divisors (98473644).

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

45914688 is a wasteful number, since it uses less digits than its factorization.

45914688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 543 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 45914688 is about 6776.0377802961. The cubic root of 45914688 is about 358.0831449673.

The spelling of 45914688 in words is "forty-five million, nine hundred fourteen thousand, six hundred eighty-eight".