10468309088034 has 96 divisors (see below), whose sum is σ = 26607328450560. Its totient is φ = 2912785488000.

The previous prime is 10468309088011. The next prime is 10468309088051. The reversal of 10468309088034 is 43088090386401.

10468309088034 is a `hidden beast` number, since 10 + 468 + 3 + 0 + 90 + 8 + 80 + 3 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5966274 + ... + 7518845.

It is an arithmetic number, because the mean of its divisors is an integer number (277159671360).

Almost surely, 2^{10468309088034} is an apocalyptic number.

10468309088034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10468309088034 is an abundant number, since it is smaller than the sum of its proper divisors (16139019362526).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10468309088034 is a wasteful number, since it uses less digits than its factorization.

10468309088034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13485296 (or 13485293 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 10468309088034 in words is "ten trillion, four hundred sixty-eight billion, three hundred nine million, eighty-eight thousand, thirty-four".