8014102384561 has 45 divisors (see below), whose sum is σ = 10103599481991. Its totient is φ = 6338178520128.

The previous prime is 8014102384543. The next prime is 8014102384567. The reversal of 8014102384561 is 1654832014108.

The square root of 8014102384561 is 2830919.

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

It can be written as a sum of positive squares in 7 ways, for example, as 5182475015025 + 2831627369536 = 2276505^2 + 1682744^2 .

It is not a de Polignac number, because 8014102384561 - 2²³ = 8014093995953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8014102384567) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3348975981 + ... + 3348978373.

Almost surely, 2^{8014102384561} is an apocalyptic number.

8014102384561 is the 2830919-th square number.

8014102384561 is the 1415460-th centered octagonal number.

It is an amenable number.

8014102384561 is a deficient number, since it is larger than the sum of its proper divisors (2089497097430).

8014102384561 is an frugal number, since it uses more digits than its factorization.

8014102384561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4852 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

Adding to 8014102384561 its reverse (1654832014108), we get a palindrome (9668934398669).

The spelling of 8014102384561 in words is "eight trillion, fourteen billion, one hundred two million, three hundred eighty-four thousand, five hundred sixty-one".