45754059520 has 216 divisors, whose sum is σ = 119280694176. Its totient is φ = 16807624704.

The previous prime is 45754059517. The next prime is 45754059529. The reversal of 45754059520 is 2595045754.

It is not an unprimeable number, because it can be changed into a prime (45754059529) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55593829 + ... + 55594651.

It is an arithmetic number, because the mean of its divisors is an integer number (552225436).

Almost surely, 2^45754059520 is an apocalyptic number.

45754059520 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 45754059520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59640347088).

45754059520 is an abundant number, since it is smaller than the sum of its proper divisors (73526634656).

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

45754059520 is a wasteful number, since it uses less digits than its factorization.

45754059520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 46.

The spelling of 45754059520 in words is "forty-five billion, seven hundred fifty-four million, fifty-nine thousand, five hundred twenty".