114412386001 has 27 divisors (see below), whose sum is σ = 123379960147. Its totient is φ = 106074886400.

The previous prime is 114412385947. The next prime is 114412386019. The reversal of 114412386001 is 100683214411.

The square root of 114412386001 is 338249.

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

It can be written as a sum of positive squares in 13 ways, for example, as 51892384401 + 62520001600 = 227799^2 + 250040^2 .

It is not a de Polignac number, because 114412386001 - 2²⁷ = 114278168273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114412386091) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 580773435 + ... + 580773631.

Almost surely, 2^114412386001 is an apocalyptic number.

114412386001 is the 338249-th square number.

114412386001 is the 169125-th centered octagonal number.

It is an amenable number.

114412386001 is a deficient number, since it is larger than the sum of its proper divisors (8967574146).

114412386001 is an frugal number, since it uses more digits than its factorization.

114412386001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The spelling of 114412386001 in words is "one hundred fourteen billion, four hundred twelve million, three hundred eighty-six thousand, one".