45814723416 has 256 divisors, whose sum is σ = 162956160000. Its totient is φ = 11578152960.

The previous prime is 45814723349. The next prime is 45814723417. The reversal of 45814723416 is 61432741854.

45814723416 is a `hidden beast` number, since 4 + 581 + 4 + 7 + 23 + 41 + 6 = 666.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45814723417) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 578160 + ... + 652608.

It is an arithmetic number, because the mean of its divisors is an integer number (636547500).

Almost surely, 2^45814723416 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 45814723416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81478080000).

45814723416 is an abundant number, since it is smaller than the sum of its proper divisors (117141436584).

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

45814723416 is a wasteful number, since it uses less digits than its factorization.

45814723416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74519 (or 74509 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 45814723416 in words is "forty-five billion, eight hundred fourteen million, seven hundred twenty-three thousand, four hundred sixteen".