45146664 has 96 divisors (see below), whose sum is σ = 128044800. Its totient is φ = 14353920.

The previous prime is 45146659. The next prime is 45146669. The reversal of 45146664 is 46664154.

It is an interprime number because it is at equal distance from previous prime (45146659) and next prime (45146669).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45146669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252127 + ... + 252305.

It is an arithmetic number, because the mean of its divisors is an integer number (1333800).

Almost surely, 2^45146664 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 45146664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64022400).

45146664 is an abundant number, since it is smaller than the sum of its proper divisors (82898136).

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

45146664 is a wasteful number, since it uses less digits than its factorization.

45146664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 328 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 45146664 is about 6719.1267289730. The cubic root of 45146664 is about 356.0753322884.

The spelling of 45146664 in words is "forty-five million, one hundred forty-six thousand, six hundred sixty-four".