45144184703856 has 160 divisors (see below), whose sum is σ = 134423950983168. Its totient is φ = 12788088917760.

The previous prime is 45144184703837. The next prime is 45144184703857. The reversal of 45144184703856 is 65830748144154.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 45144184703856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45144184703857) 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, 47373621 + ... + 48317163.

Almost surely, 2^{45144184703856} 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 45144184703856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67211975491584).

45144184703856 is an abundant number, since it is smaller than the sum of its proper divisors (89279766279312).

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

45144184703856 is a wasteful number, since it uses less digits than its factorization.

45144184703856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944779 (or 944773 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 60.

The spelling of 45144184703856 in words is "forty-five trillion, one hundred forty-four billion, one hundred eighty-four million, seven hundred three thousand, eight hundred fifty-six".