10643114634129 has 24 divisors (see below), whose sum is σ = 15903731025000. Its totient is φ = 6850642928640.

The previous prime is 10643114634083. The next prime is 10643114634137. The reversal of 10643114634129 is 92143641134601.

10643114634129 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 3 + 1 + 1 + 4 + 634 + 1 + 2 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 73151316225 + 10569963317904 = 270465^2 + 3251148^2 .

It is not a de Polignac number, because 10643114634129 - 2¹³ = 10643114625937 is a prime.

It is a super-2 number, since 2×10643114634129² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10643114634179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21090247 + ... + 21588995.

It is an arithmetic number, because the mean of its divisors is an integer number (662655459375).

Almost surely, 2^{10643114634129} is an apocalyptic number.

It is an amenable number.

10643114634129 is a deficient number, since it is larger than the sum of its proper divisors (5260616390871).

10643114634129 is a wasteful number, since it uses less digits than its factorization.

10643114634129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580545 (or 580542 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 10643114634129 in words is "ten trillion, six hundred forty-three billion, one hundred fourteen million, six hundred thirty-four thousand, one hundred twenty-nine".