38401377386249 has 2 divisors, whose sum is σ = 38401377386250. Its totient is φ = 38401377386248.

The previous prime is 38401377386179. The next prime is 38401377386257. The reversal of 38401377386249 is 94268377310483.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38391568464649 + 9808921600 = 6196093^2 + 99040^2 .

It is a cyclic number.

It is not a de Polignac number, because 38401377386249 - 2⁴⁴ = 20809191341833 is a prime.

It is a super-2 number, since 2×38401377386249² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (38401377346249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19200688693124 + 19200688693125.

It is an arithmetic number, because the mean of its divisors is an integer number (19200688693125).

Almost surely, 2^{38401377386249} is an apocalyptic number.

It is an amenable number.

38401377386249 is a deficient number, since it is larger than the sum of its proper divisors (1).

38401377386249 is an equidigital number, since it uses as much as digits as its factorization.

38401377386249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 146313216, while the sum is 65.

The spelling of 38401377386249 in words is "thirty-eight trillion, four hundred one billion, three hundred seventy-seven million, three hundred eighty-six thousand, two hundred forty-nine".