45582052320 has 384 divisors, whose sum is σ = 187260595200. Its totient is φ = 10136918016.

The previous prime is 45582052309. The next prime is 45582052333. The reversal of 45582052320 is 2325028554.

It is a happy number.

45582052320 is a `hidden beast` number, since 4 + 5 + 582 + 0 + 52 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1098511 + ... + 1139249.

It is an arithmetic number, because the mean of its divisors is an integer number (487657800).

Almost surely, 2^45582052320 is an apocalyptic number.

45582052320 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 45582052320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93630297600).

45582052320 is an abundant number, since it is smaller than the sum of its proper divisors (141678542880).

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

45582052320 is a wasteful number, since it uses less digits than its factorization.

45582052320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40807 (or 40793 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 45582052320 in words is "forty-five billion, five hundred eighty-two million, fifty-two thousand, three hundred twenty".