45144558720 has 192 divisors, whose sum is σ = 156885875640. Its totient is φ = 11961630720.

The previous prime is 45144558673. The next prime is 45144558757. The reversal of 45144558720 is 2785544154.

45144558720 is a `hidden beast` number, since 4 + 5 + 1 + 4 + 45 + 587 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39747599424 + 5396959296 = 199368^2 + 73464^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 879360 + ... + 929280.

Almost surely, 2^45144558720 is an apocalyptic number.

45144558720 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 45144558720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78442937820).

45144558720 is an abundant number, since it is smaller than the sum of its proper divisors (111741316920).

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

45144558720 is a wasteful number, since it uses less digits than its factorization.

45144558720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50103 (or 50088 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 45.

The spelling of 45144558720 in words is "forty-five billion, one hundred forty-four million, five hundred fifty-eight thousand, seven hundred twenty".