45164982384 has 240 divisors, whose sum is σ = 138209011200. Its totient is φ = 13720264704.

The previous prime is 45164982383. The next prime is 45164982439. The reversal of 45164982384 is 48328946154.

45164982384 is a `hidden beast` number, since 4 + 51 + 6 + 498 + 23 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 45164982384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45164982383) 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 47 ways as a sum of consecutive naturals, for example, 7583952 + ... + 7589904.

It is an arithmetic number, because the mean of its divisors is an integer number (575870880).

Almost surely, 2^45164982384 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 45164982384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69104505600).

45164982384 is an abundant number, since it is smaller than the sum of its proper divisors (93044028816).

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

45164982384 is a wasteful number, since it uses less digits than its factorization.

45164982384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6092 (or 6083 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 45164982384 in words is "forty-five billion, one hundred sixty-four million, nine hundred eighty-two thousand, three hundred eighty-four".