71838684801 has 12 divisors (see below), whose sum is σ = 111749065428. Its totient is φ = 44208421344.

The previous prime is 71838684781. The next prime is 71838684803. The reversal of 71838684801 is 10848683817.

It is a happy number.

71838684801 is a `hidden beast` number, since 7 + 1 + 83 + 86 + 8 + 480 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6997155201 + 64841529600 = 83649^2 + 254640^2 .

It is not a de Polignac number, because 71838684801 - 2¹⁴ = 71838668417 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (71838684803) 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, 307002810 + ... + 307003043.

It is an arithmetic number, because the mean of its divisors is an integer number (9312422119).

Almost surely, 2^71838684801 is an apocalyptic number.

It is an amenable number.

71838684801 is a deficient number, since it is larger than the sum of its proper divisors (39910380627).

71838684801 is a wasteful number, since it uses less digits than its factorization.

71838684801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614005872 (or 614005869 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 71838684801 in words is "seventy-one billion, eight hundred thirty-eight million, six hundred eighty-four thousand, eight hundred one".