114146766234601 has 9 divisors (see below), whose sum is σ = 114242071740349. Its totient is φ = 114051540197164.

The previous prime is 114146766234577. The next prime is 114146766234737. The reversal of 114146766234601 is 106432667641411.

The square root of 114146766234601 is 10683949.

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

It is not a de Polignac number, because 114146766234601 - 2¹¹ = 114146766232553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114146766214601) 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, 15245991480 + ... + 15245998966.

Almost surely, 2^{114146766234601} is an apocalyptic number.

114146766234601 is the 10683949-th square number.

114146766234601 is the 5341975-th centered octagonal number.

It is an amenable number.

114146766234601 is a deficient number, since it is larger than the sum of its proper divisors (95305505748).

114146766234601 is an frugal number, since it uses more digits than its factorization.

114146766234601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17828 (or 8914 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 114146766234601 in words is "one hundred fourteen trillion, one hundred forty-six billion, seven hundred sixty-six million, two hundred thirty-four thousand, six hundred one".