45143820288 has 384 divisors, whose sum is σ = 153809510400. Its totient is φ = 12815843328.

The previous prime is 45143820283. The next prime is 45143820307. The reversal of 45143820288 is 88202834154.

45143820288 is a `hidden beast` number, since 4 + 5 + 1 + 438 + 202 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (45143820283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86316795 + ... + 86317317.

It is an arithmetic number, because the mean of its divisors is an integer number (400545600).

Almost surely, 2^45143820288 is an apocalyptic number.

45143820288 is a gapful number since it is divisible by the number (48) 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 45143820288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76904755200).

45143820288 is an abundant number, since it is smaller than the sum of its proper divisors (108665690112).

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

45143820288 is a wasteful number, since it uses less digits than its factorization.

45143820288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 45143820288 in words is "forty-five billion, one hundred forty-three million, eight hundred twenty thousand, two hundred eighty-eight".