45839447424 has 320 divisors, whose sum is σ = 146682201600. Its totient is φ = 14164761600.

The previous prime is 45839447413. The next prime is 45839447449. The reversal of 45839447424 is 42474493854.

45839447424 is a `hidden beast` number, since 4 + 5 + 83 + 94 + 474 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9256149 + ... + 9261099.

It is an arithmetic number, because the mean of its divisors is an integer number (458381880).

Almost surely, 2^45839447424 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 45839447424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73341100800).

45839447424 is an abundant number, since it is smaller than the sum of its proper divisors (100842754176).

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

45839447424 is a wasteful number, since it uses less digits than its factorization.

45839447424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5043 (or 5022 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 45839447424 in words is "forty-five billion, eight hundred thirty-nine million, four hundred forty-seven thousand, four hundred twenty-four".