45540480384 has 384 divisors, whose sum is σ = 154471786560. Its totient is φ = 12607488000.

The previous prime is 45540480371. The next prime is 45540480499. The reversal of 45540480384 is 48308404554.

45540480384 is a `hidden beast` number, since 4 + 55 + 40 + 480 + 3 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59842564 + ... + 59843324.

Almost surely, 2^45540480384 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 45540480384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77235893280).

45540480384 is an abundant number, since it is smaller than the sum of its proper divisors (108931306176).

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

45540480384 is a wasteful number, since it uses less digits than its factorization.

45540480384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 45540480384 in words is "forty-five billion, five hundred forty million, four hundred eighty thousand, three hundred eighty-four".