43307274816 has 567 divisors, whose sum is σ = 145526287179. Its totient is φ = 12306438144.

The previous prime is 43307274811. The next prime is 43307274823. The reversal of 43307274816 is 61847270334.

The square root of 43307274816 is 208104.

It is a perfect power (a square), and thus also a powerful number.

43307274816 is a `hidden beast` number, since 433 + 0 + 72 + 74 + 81 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5553230400 + 37754044416 = 74520^2 + 194304^2 .

It is not an unprimeable number, because it can be changed into a prime (43307274811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1493354290 + ... + 1493354318.

Almost surely, 2^43307274816 is an apocalyptic number.

43307274816 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

43307274816 is the 208104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43307274816

43307274816 is an abundant number, since it is smaller than the sum of its proper divisors (102219012363).

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

43307274816 is a wasteful number, since it uses less digits than its factorization.

43307274816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 43307274816 in words is "forty-three billion, three hundred seven million, two hundred seventy-four thousand, eight hundred sixteen".