10065904814079 has 48 divisors (see below), whose sum is σ = 15538130741952. Its totient is φ = 6257289375744.

The previous prime is 10065904814071. The next prime is 10065904814083. The reversal of 10065904814079 is 97041840956001.

10065904814079 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 5 + 90 + 481 + 4 + 0 + 79 = 666.

It is not a de Polignac number, because 10065904814079 - 2³ = 10065904814071 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10065904814071) 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, 10066027 + ... + 11020739.

It is an arithmetic number, because the mean of its divisors is an integer number (323711057124).

Almost surely, 2^{10065904814079} is an apocalyptic number.

10065904814079 is a deficient number, since it is larger than the sum of its proper divisors (5472225927873).

10065904814079 is a wasteful number, since it uses less digits than its factorization.

10065904814079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955376 (or 955373 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 10065904814079 in words is "ten trillion, sixty-five billion, nine hundred four million, eight hundred fourteen thousand, seventy-nine".