10342809017856 has 240 divisors, whose sum is σ = 35214805536768. Its totient is φ = 2859762585600.

The previous prime is 10342809017791. The next prime is 10342809017861. The reversal of 10342809017856 is 65871090824301.

10342809017856 is a `hidden beast` number, since 1 + 0 + 342 + 80 + 9 + 0 + 178 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

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, 4171800 + ... + 6171671.

It is a 1-persistent number, because it is pandigital, but 2⋅10342809017856 = 20685618035712 is not.

Almost surely, 2^{10342809017856} is an apocalyptic number.

10342809017856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10342809017856 is an abundant number, since it is smaller than the sum of its proper divisors (24871996518912).

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

10342809017856 is a wasteful number, since it uses less digits than its factorization.

10342809017856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10343533 (or 10343514 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 10342809017856 in words is "ten trillion, three hundred forty-two billion, eight hundred nine million, seventeen thousand, eight hundred fifty-six".