45289782720 has 1260 divisors, whose sum is σ = 203892921144. Its totient is φ = 9510359040.

The previous prime is 45289782691. The next prime is 45289782781. The reversal of 45289782720 is 2728798254.

45289782720 is a `hidden beast` number, since 4 + 528 + 9 + 78 + 27 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 214643415 + ... + 214643625.

Almost surely, 2^45289782720 is an apocalyptic number.

45289782720 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 45289782720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101946460572).

45289782720 is an abundant number, since it is smaller than the sum of its proper divisors (158603138424).

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

45289782720 is a wasteful number, since it uses less digits than its factorization.

45289782720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 45289782720 in words is "forty-five billion, two hundred eighty-nine million, seven hundred eighty-two thousand, seven hundred twenty".