45501340544 has 128 divisors (see below), whose sum is σ = 100959436800. Its totient is φ = 20253542400.

The previous prime is 45501340537. The next prime is 45501340561. The reversal of 45501340544 is 44504310554.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14124854 + ... + 14128074.

It is an arithmetic number, because the mean of its divisors is an integer number (788745600).

Almost surely, 2^45501340544 is an apocalyptic number.

45501340544 is a gapful number since it is divisible by the number (44) 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 45501340544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50479718400).

45501340544 is an abundant number, since it is smaller than the sum of its proper divisors (55458096256).

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

45501340544 is a wasteful number, since it uses less digits than its factorization.

45501340544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452 (or 3440 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

The spelling of 45501340544 in words is "forty-five billion, five hundred one million, three hundred forty thousand, five hundred forty-four".