15414534134401 has 2 divisors, whose sum is σ = 15414534134402. Its totient is φ = 15414534134400.

The previous prime is 15414534134359. The next prime is 15414534134431. The reversal of 15414534134401 is 10443143541451.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9706620647025 + 5707913487376 = 3115545^2 + 2389124^2 .

It is a cyclic number.

It is not a de Polignac number, because 15414534134401 - 2⁷ = 15414534134273 is a prime.

It is a super-2 number, since 2×15414534134401² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (15414534134431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7707267067200 + 7707267067201.

It is an arithmetic number, because the mean of its divisors is an integer number (7707267067201).

Almost surely, 2^{15414534134401} is an apocalyptic number.

It is an amenable number.

15414534134401 is a deficient number, since it is larger than the sum of its proper divisors (1).

15414534134401 is an equidigital number, since it uses as much as digits as its factorization.

15414534134401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 230400, while the sum is 40.

Adding to 15414534134401 its reverse (10443143541451), we get a palindrome (25857677675852).

The spelling of 15414534134401 in words is "fifteen trillion, four hundred fourteen billion, five hundred thirty-four million, one hundred thirty-four thousand, four hundred one".