114615716692129 has 9 divisors (see below), whose sum is σ = 120965832575217. Its totient is φ = 108583117844724.

The previous prime is 114615716692117. The next prime is 114615716692151. The reversal of 114615716692129 is 921296617516411.

The square root of 114615716692129 is 10705873.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 114615716692129 - 2⁵ = 114615716692097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114615716692159) 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 in 8 ways as a sum of consecutive naturals, for example, 203129854 + ... + 203693320.

It is an arithmetic number, because the mean of its divisors is an integer number (13440648063913).

Almost surely, 2^{114615716692129} is an apocalyptic number.

114615716692129 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

114615716692129 is the 10705873-rd square number.

114615716692129 is the 5352937-th centered octagonal number.

It is an amenable number.

114615716692129 is a deficient number, since it is larger than the sum of its proper divisors (6350115883088).

114615716692129 is an frugal number, since it uses more digits than its factorization.

114615716692129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126972 (or 563486 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 61.

The spelling of 114615716692129 in words is "one hundred fourteen trillion, six hundred fifteen billion, seven hundred sixteen million, six hundred ninety-two thousand, one hundred twenty-nine".