38814668758561 has 2 divisors, whose sum is σ = 38814668758562. Its totient is φ = 38814668758560.

The previous prime is 38814668758543. The next prime is 38814668758609. The reversal of 38814668758561 is 16585786641883.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 38572856597025 + 241812161536 = 6210705^2 + 491744^2 .

It is a cyclic number.

It is not a de Polignac number, because 38814668758561 - 2¹⁹ = 38814668234273 is a prime.

It is a super-2 number, since 2×38814668758561² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (38814668758511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19407334379280 + 19407334379281.

It is an arithmetic number, because the mean of its divisors is an integer number (19407334379281).

Almost surely, 2^{38814668758561} is an apocalyptic number.

It is an amenable number.

38814668758561 is a deficient number, since it is larger than the sum of its proper divisors (1).

38814668758561 is an equidigital number, since it uses as much as digits as its factorization.

38814668758561 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1857945600, while the sum is 76.

The spelling of 38814668758561 in words is "thirty-eight trillion, eight hundred fourteen billion, six hundred sixty-eight million, seven hundred fifty-eight thousand, five hundred sixty-one".