14615842816 has 39 divisors (see below), whose sum is σ = 29243598301. Its totient is φ = 7304052736.

The previous prime is 14615842783. The next prime is 14615842819. The reversal of 14615842816 is 61824851641.

The square root of 14615842816 is 120896.

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

It can be written as a sum of positive squares in only one way, i.e., 7039881216 + 7575961600 = 83904^2 + 87040^2 .

It is a super-2 number, since 2×14615842816² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14615842819) 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 2 ways as a sum of consecutive naturals, for example, 7736400 + ... + 7738288.

Almost surely, 2^14615842816 is an apocalyptic number.

14615842816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14615842816 is the 120896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14615842816

14615842816 is an abundant number, since it is smaller than the sum of its proper divisors (14627755485).

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

14615842816 is an frugal number, since it uses more digits than its factorization.

14615842816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3802 (or 1891 counting only the distinct ones).

The product of its digits is 368640, while the sum is 46.

The spelling of 14615842816 in words is "fourteen billion, six hundred fifteen million, eight hundred forty-two thousand, eight hundred sixteen".