10506468094929 has 12 divisors (see below), whose sum is σ = 15200605928196. Its totient is φ = 6992959852032.

The previous prime is 10506468094909. The next prime is 10506468094979. The reversal of 10506468094929 is 92949086460501.

10506468094929 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 64 + 6 + 80 + 9 + 492 + 9 = 666.

10506468094929 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1625931014400 + 8880537080529 = 1275120^2 + 2980023^2 .

It is not a de Polignac number, because 10506468094929 - 2⁵ = 10506468094897 is a prime.

It is a super-2 number, since 2×10506468094929² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10506468094909) 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, 946011744 + ... + 946022849.

It is an arithmetic number, because the mean of its divisors is an integer number (1266717160683).

Almost surely, 2^{10506468094929} is an apocalyptic number.

It is an amenable number.

10506468094929 is a deficient number, since it is larger than the sum of its proper divisors (4694137833267).

10506468094929 is a wasteful number, since it uses less digits than its factorization.

10506468094929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892035216 (or 1892035213 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 10506468094929 in words is "ten trillion, five hundred six billion, four hundred sixty-eight million, ninety-four thousand, nine hundred twenty-nine".