114304171921 has 9 divisors (see below), whose sum is σ = 115117581033. Its totient is φ = 113496477300.

The previous prime is 114304171907. The next prime is 114304171937. The reversal of 114304171921 is 129171403411.

The square root of 114304171921 is 338089.

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

It is not a de Polignac number, because 114304171921 - 2¹⁷ = 114304040849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114304171981) 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, 51050320 + ... + 51052558.

It is an arithmetic number, because the mean of its divisors is an integer number (12790842337).

Almost surely, 2^114304171921 is an apocalyptic number.

114304171921 is the 338089-th square number.

114304171921 is the 169045-th centered octagonal number.

It is an amenable number.

114304171921 is a deficient number, since it is larger than the sum of its proper divisors (813409112).

114304171921 is an frugal number, since it uses more digits than its factorization.

114304171921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4780 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

It can be divided in two parts, 114304 and 171921, that added together give a square (286225 = 535²).

The spelling of 114304171921 in words is "one hundred fourteen billion, three hundred four million, one hundred seventy-one thousand, nine hundred twenty-one".