114434131417321 has 9 divisors (see below), whose sum is σ = 114845836348933. Its totient is φ = 114023897246560.

The previous prime is 114434131417301. The next prime is 114434131417343. The reversal of 114434131417321 is 123714131434411.

The square root of 114434131417321 is 10697389.

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

It can be written as a sum of positive squares in 4 ways, for example, as 11206499407321 + 103227632010000 = 3347611^2 + 10160100^2 .

It is a de Polignac number, because none of the positive numbers 2^k-114434131417321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114434131417301) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3005947275 + ... + 3005985343.

Almost surely, 2^{114434131417321} is an apocalyptic number.

114434131417321 is the 10697389-th square number.

114434131417321 is the 5348695-th centered octagonal number.

It is an amenable number.

114434131417321 is a deficient number, since it is larger than the sum of its proper divisors (411704931612).

114434131417321 is an frugal number, since it uses more digits than its factorization.

114434131417321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76700 (or 38350 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The spelling of 114434131417321 in words is "one hundred fourteen trillion, four hundred thirty-four billion, one hundred thirty-one million, four hundred seventeen thousand, three hundred twenty-one".