45519254560 has 192 divisors, whose sum is σ = 123036883200. Its totient is φ = 15774953472.

The previous prime is 45519254537. The next prime is 45519254569. The reversal of 45519254560 is 6545291554.

It is a self number, because there is not a number n which added to its sum of digits gives 45519254560.

It is not an unprimeable number, because it can be changed into a prime (45519254569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4302397 + ... + 4312963.

It is an arithmetic number, because the mean of its divisors is an integer number (640817100).

Almost surely, 2^45519254560 is an apocalyptic number.

45519254560 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 45519254560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61518441600).

45519254560 is an abundant number, since it is smaller than the sum of its proper divisors (77517628640).

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

45519254560 is a wasteful number, since it uses less digits than its factorization.

45519254560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10723 (or 10715 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 46.

The spelling of 45519254560 in words is "forty-five billion, five hundred nineteen million, two hundred fifty-four thousand, five hundred sixty".