16129016129 has 12 divisors (see below), whose sum is σ = 16419635028. Its totient is φ = 15841980000.

The previous prime is 16129016107. The next prime is 16129016147. The reversal of 16129016129 is 92161092161.

It can be written as a sum of positive squares in 2 ways, for example, as 15490291600 + 638724529 = 124460^2 + 25273^2 .

It is not a de Polignac number, because 16129016129 - 2²⁰ = 16127967553 is a prime.

It is a super-2 number, since 2×16129016129² (a number of 21 digits) contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16129016092 and 16129016101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16129016429) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1624079 + ... + 1633979.

It is an arithmetic number, because the mean of its divisors is an integer number (1368302919).

Almost surely, 2^16129016129 is an apocalyptic number.

It is an amenable number.

16129016129 is a deficient number, since it is larger than the sum of its proper divisors (290618899).

16129016129 is an equidigital number, since it uses as much as digits as its factorization.

16129016129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10256 (or 10129 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 38.

The spelling of 16129016129 in words is "sixteen billion, one hundred twenty-nine million, sixteen thousand, one hundred twenty-nine".