11853330129 has 15 divisors (see below), whose sum is σ = 17708290347. Its totient is φ = 7901566848.

The previous prime is 11853330103. The next prime is 11853330149. The reversal of 11853330129 is 92103335811.

The square root of 11853330129 is 108873.

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

11853330129 is a `hidden beast` number, since 118 + 533 + 3 + 0 + 1 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 328878225 + 11524451904 = 18135^2 + 107352^2 .

It is not a de Polignac number, because 11853330129 - 2⁷ = 11853330001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11853330093 and 11853330102.

It is not an unprimeable number, because it can be changed into a prime (11853330149) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 973809 + ... + 985905.

Almost surely, 2^11853330129 is an apocalyptic number.

11853330129 is the 108873-rd square number.

11853330129 is the 54437-th centered octagonal number.

It is an amenable number.

11853330129 is a deficient number, since it is larger than the sum of its proper divisors (5854960218).

11853330129 is an frugal number, since it uses more digits than its factorization.

11853330129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24206 (or 12100 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

Multiplying 11853330129 by its sum of digits (36), we get a square (426719884644 = 653238²).

The spelling of 11853330129 in words is "eleven billion, eight hundred fifty-three million, three hundred thirty thousand, one hundred twenty-nine".