4727112516 has 81 divisors (see below), whose sum is σ = 13908458109. Its totient is φ = 1349778528.

The previous prime is 4727112499. The next prime is 4727112517. The reversal of 4727112516 is 6152117274.

The square root of 4727112516 is 68754.

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

4727112516 is a `hidden beast` number, since 4 + 7 + 27 + 112 + 516 = 666.

It can be written as a sum of positive squares in only one way, i.e., 143280900 + 4583831616 = 11970^2 + 67704^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4727112517) 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 26 ways as a sum of consecutive naturals, for example, 2886850 + ... + 2888486.

Almost surely, 2^4727112516 is an apocalyptic number.

4727112516 is the 68754-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4727112516

4727112516 is an abundant number, since it is smaller than the sum of its proper divisors (9181345593).

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

4727112516 is a wasteful number, since it uses less digits than its factorization.

4727112516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3298 (or 1649 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The cubic root of 4727112516 is about 1678.2834550458.

Multiplying 4727112516 by its sum of digits (36), we get a square (170176050576 = 412524²).

4727112516 divided by its sum of digits (36) gives a square (131308681 = 11459²).

The spelling of 4727112516 in words is "four billion, seven hundred twenty-seven million, one hundred twelve thousand, five hundred sixteen".