45743530560 has 1344 divisors, whose sum is σ = 199254343680. Its totient is φ = 8778792960.

The previous prime is 45743530537. The next prime is 45743530577. The reversal of 45743530560 is 6503534754.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 360185217 + ... + 360185343.

It is an arithmetic number, because the mean of its divisors is an integer number (148254720).

Almost surely, 2^45743530560 is an apocalyptic number.

45743530560 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 45743530560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99627171840).

45743530560 is an abundant number, since it is smaller than the sum of its proper divisors (153510813120).

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

45743530560 is a wasteful number, since it uses less digits than its factorization.

45743530560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 42.

The spelling of 45743530560 in words is "forty-five billion, seven hundred forty-three million, five hundred thirty thousand, five hundred sixty".