18737476857601 has 2 divisors, whose sum is σ = 18737476857602. Its totient is φ = 18737476857600.

The previous prime is 18737476857569. The next prime is 18737476857607. The reversal of 18737476857601 is 10675867473781.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16535413773376 + 2202063084225 = 4066376^2 + 1483935^2 .

It is an emirp because it is prime and its reverse (10675867473781) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 18737476857601 - 2⁵ = 18737476857569 is a prime.

It is not a weakly prime, because it can be changed into another prime (18737476857607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9368738428800 + 9368738428801.

It is an arithmetic number, because the mean of its divisors is an integer number (9368738428801).

Almost surely, 2^{18737476857601} is an apocalyptic number.

It is an amenable number.

18737476857601 is a deficient number, since it is larger than the sum of its proper divisors (1).

18737476857601 is an equidigital number, since it uses as much as digits as its factorization.

18737476857601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 331914240, while the sum is 70.

The spelling of 18737476857601 in words is "eighteen trillion, seven hundred thirty-seven billion, four hundred seventy-six million, eight hundred fifty-seven thousand, six hundred one".