72814664586141 has 12 divisors (see below), whose sum is σ = 105404886847260. Its totient is φ = 48437810134080.

The previous prime is 72814664586071. The next prime is 72814664586199. The reversal of 72814664586141 is 14168546641827.

It is a happy number.

72814664586141 is a `hidden beast` number, since 7 + 2 + 8 + 1 + 4 + 6 + 6 + 4 + 5 + 8 + 614 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51978634963641 + 20836029622500 = 7209621^2 + 4564650^2 .

It is not a de Polignac number, because 72814664586141 - 2⁹ = 72814664585629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72814664586941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8774961456 + ... + 8774969753.

It is an arithmetic number, because the mean of its divisors is an integer number (8783740570605).

Almost surely, 2^{72814664586141} is an apocalyptic number.

It is an amenable number.

72814664586141 is a deficient number, since it is larger than the sum of its proper divisors (32590222261119).

72814664586141 is a wasteful number, since it uses less digits than its factorization.

72814664586141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17549931676 (or 17549931673 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 63.

The spelling of 72814664586141 in words is "seventy-two trillion, eight hundred fourteen billion, six hundred sixty-four million, five hundred eighty-six thousand, one hundred forty-one".