45009383328 has 864 divisors, whose sum is σ = 176974761600. Its totient is φ = 10558439424.

The previous prime is 45009383299. The next prime is 45009383357. The reversal of 45009383328 is 82338390054.

45009383328 is a `hidden beast` number, since 4 + 500 + 93 + 8 + 33 + 28 = 666.

45009383328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45009383299) and next prime (45009383357).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 110047188 + ... + 110047596.

It is an arithmetic number, because the mean of its divisors is an integer number (204831900).

Almost surely, 2^45009383328 is an apocalyptic number.

45009383328 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 45009383328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88487380800).

45009383328 is an abundant number, since it is smaller than the sum of its proper divisors (131965378272).

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

45009383328 is a wasteful number, since it uses less digits than its factorization.

45009383328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 45009383328 in words is "forty-five billion, nine million, three hundred eighty-three thousand, three hundred twenty-eight".