45606672384 has 576 divisors, whose sum is σ = 156436600320. Its totient is φ = 11705057280.

The previous prime is 45606672359. The next prime is 45606672389. The reversal of 45606672384 is 48327660654.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45606672389) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168290169 + ... + 168290439.

It is an arithmetic number, because the mean of its divisors is an integer number (271591320).

Almost surely, 2^45606672384 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 45606672384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78218300160).

45606672384 is an abundant number, since it is smaller than the sum of its proper divisors (110829927936).

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

45606672384 is a wasteful number, since it uses less digits than its factorization.

45606672384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 45606672384 in words is "forty-five billion, six hundred six million, six hundred seventy-two thousand, three hundred eighty-four".