45744116352 has 256 divisors, whose sum is σ = 138875627520. Its totient is φ = 13205688320.

The previous prime is 45744116347. The next prime is 45744116377. The reversal of 45744116352 is 25361144754.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28464733 + ... + 28466339.

It is an arithmetic number, because the mean of its divisors is an integer number (542482920).

Almost surely, 2^45744116352 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 45744116352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69437813760).

45744116352 is an abundant number, since it is smaller than the sum of its proper divisors (93131511168).

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

45744116352 is a wasteful number, since it uses less digits than its factorization.

45744116352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1951 (or 1939 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The spelling of 45744116352 in words is "forty-five billion, seven hundred forty-four million, one hundred sixteen thousand, three hundred fifty-two".