45144960 has 128 divisors (see below), whose sum is σ = 164505600. Its totient is φ = 10315776.

The previous prime is 45144947. The next prime is 45144997. The reversal of 45144960 is 6944154.

It is a Cunningham number, because it is equal to 6719²-1.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 11761 + ... + 15119.

It is an arithmetic number, because the mean of its divisors is an integer number (1285200).

Almost surely, 2^45144960 is an apocalyptic number.

45144960 is a gapful number since it is divisible by the number (40) 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 45144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82252800).

45144960 is an abundant number, since it is smaller than the sum of its proper divisors (119360640).

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

45144960 is a wasteful number, since it uses less digits than its factorization.

45144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3388 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 45144960 is about 6718.9999255842. Note that the first 4 decimals coincide. The cubic root of 45144960 is about 356.0708523709.

The spelling of 45144960 in words is "forty-five million, one hundred forty-four thousand, nine hundred sixty".