10468391049291 has 48 divisors (see below), whose sum is σ = 16668969246720. Its totient is φ = 5824009054080.

The previous prime is 10468391049287. The next prime is 10468391049307. The reversal of 10468391049291 is 19294019386401.

It is a happy number.

10468391049291 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10468391049291 - 2² = 10468391049287 is a prime.

It is a super-3 number, since 3×10468391049291³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10468391049211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2646826 + ... + 5286063.

It is an arithmetic number, because the mean of its divisors is an integer number (347270192640).

Almost surely, 2^{10468391049291} is an apocalyptic number.

10468391049291 is a deficient number, since it is larger than the sum of its proper divisors (6200578197429).

10468391049291 is a wasteful number, since it uses less digits than its factorization.

10468391049291 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7933144 (or 7933137 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 57.

The spelling of 10468391049291 in words is "ten trillion, four hundred sixty-eight billion, three hundred ninety-one million, forty-nine thousand, two hundred ninety-one".