45744384000 has 768 divisors, whose sum is σ = 177929256960. Its totient is φ = 10218700800.

The previous prime is 45744383987. The next prime is 45744384013. The reversal of 45744384000 is 48344754.

It is an interprime number because it is at equal distance from previous prime (45744383987) and next prime (45744384013).

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 45744384000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 360191937 + ... + 360192063.

It is an arithmetic number, because the mean of its divisors is an integer number (231678720).

Almost surely, 2^45744384000 is an apocalyptic number.

45744384000 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 45744384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88964628480).

45744384000 is an abundant number, since it is smaller than the sum of its proper divisors (132184872960).

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

45744384000 is a wasteful number, since it uses less digits than its factorization.

45744384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 39.

The spelling of 45744384000 in words is "forty-five billion, seven hundred forty-four million, three hundred eighty-four thousand".