67838872201 has 2 divisors, whose sum is σ = 67838872202. Its totient is φ = 67838872200.

The previous prime is 67838872177. The next prime is 67838872271. The reversal of 67838872201 is 10227883876.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62980921600 + 4857950601 = 250960^2 + 69699^2 .

It is a cyclic number.

It is not a de Polignac number, because 67838872201 - 2¹⁵ = 67838839433 is a prime.

It is a super-2 number, since 2×67838872201² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (67838872271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33919436100 + 33919436101.

It is an arithmetic number, because the mean of its divisors is an integer number (33919436101).

Almost surely, 2^67838872201 is an apocalyptic number.

It is an amenable number.

67838872201 is a deficient number, since it is larger than the sum of its proper divisors (1).

67838872201 is an equidigital number, since it uses as much as digits as its factorization.

67838872201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1806336, while the sum is 52.

The spelling of 67838872201 in words is "sixty-seven billion, eight hundred thirty-eight million, eight hundred seventy-two thousand, two hundred one".