45320603328 has 1344 divisors, whose sum is σ = 192638476800. Its totient is φ = 10241925120.

The previous prime is 45320603303. The next prime is 45320603333. The reversal of 45320603328 is 82330602354.

It is a happy number.

45320603328 is a `hidden beast` number, since 4 + 5 + 3 + 20 + 603 + 3 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a junction number, because it is equal to n+sod(n) for n = 45320603292 and 45320603301.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 230053726 + ... + 230053922.

It is an arithmetic number, because the mean of its divisors is an integer number (143332200).

Almost surely, 2^45320603328 is an apocalyptic number.

45320603328 is a gapful number since it is divisible by the number (48) 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 45320603328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96319238400).

45320603328 is an abundant number, since it is smaller than the sum of its proper divisors (147317873472).

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

45320603328 is a wasteful number, since it uses less digits than its factorization.

45320603328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 45320603328 in words is "forty-five billion, three hundred twenty million, six hundred three thousand, three hundred twenty-eight".