45281664 has 96 divisors (see below), whose sum is σ = 136047600. Its totient is φ = 14429184.

The previous prime is 45281629. The next prime is 45281683. The reversal of 45281664 is 46618254.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×45281664⁴ (a number of 32 digits) contains 4444 as substring.

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 25642 + ... + 27350.

Almost surely, 2^45281664 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 45281664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68023800).

45281664 is an abundant number, since it is smaller than the sum of its proper divisors (90765936).

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

45281664 is a wasteful number, since it uses less digits than its factorization.

45281664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1737 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 45281664 is about 6729.1651785344. The cubic root of 45281664 is about 356.4298976910.

The spelling of 45281664 in words is "forty-five million, two hundred eighty-one thousand, six hundred sixty-four".