45909000384 has 224 divisors, whose sum is σ = 132595900416. Its totient is φ = 13934592000.

The previous prime is 45909000383. The next prime is 45909000413. The reversal of 45909000384 is 48300090954.

It is a super-2 number, since 2×45909000384² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45909000383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79564704 + ... + 79565280.

It is an arithmetic number, because the mean of its divisors is an integer number (591945984).

Almost surely, 2^45909000384 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 45909000384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66297950208).

45909000384 is an abundant number, since it is smaller than the sum of its proper divisors (86686900032).

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

45909000384 is a wasteful number, since it uses less digits than its factorization.

45909000384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 45909000384 in words is "forty-five billion, nine hundred nine million, three hundred eighty-four", and thus it is an aban number.