34813397386399 has 2 divisors, whose sum is σ = 34813397386400. Its totient is φ = 34813397386398.

The previous prime is 34813397386381. The next prime is 34813397386409. The reversal of 34813397386399 is 99368379331843.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 34813397386399 - 2¹⁷ = 34813397255327 is a prime.

It is a super-2 number, since 2×34813397386399² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34813397386349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17406698693199 + 17406698693200.

It is an arithmetic number, because the mean of its divisors is an integer number (17406698693200).

Almost surely, 2^{34813397386399} is an apocalyptic number.

34813397386399 is a deficient number, since it is larger than the sum of its proper divisors (1).

34813397386399 is an equidigital number, since it uses as much as digits as its factorization.

34813397386399 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1904684544, while the sum is 76.

The spelling of 34813397386399 in words is "thirty-four trillion, eight hundred thirteen billion, three hundred ninety-seven million, three hundred eighty-six thousand, three hundred ninety-nine".