242646706107 has 40 divisors (see below), whose sum is σ = 391261147200. Its totient is φ = 148974318720.

The previous prime is 242646706039. The next prime is 242646706121. The reversal of 242646706107 is 701607646242.

242646706107 is a `hidden beast` number, since 2 + 4 + 26 + 4 + 6 + 7 + 0 + 610 + 7 = 666.

It is not a de Polignac number, because 242646706107 - 2⁷ = 242646705979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242646706177) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 186519 + ... + 721167.

It is an arithmetic number, because the mean of its divisors is an integer number (9781528680).

Almost surely, 2^242646706107 is an apocalyptic number.

242646706107 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

242646706107 is a deficient number, since it is larger than the sum of its proper divisors (148614441093).

242646706107 is a wasteful number, since it uses less digits than its factorization.

242646706107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535105 (or 535096 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

It can be divided in two parts, 242646 and 706107, that added together give a triangular number (948753 = T₁₃₇₇).

The spelling of 242646706107 in words is "two hundred forty-two billion, six hundred forty-six million, seven hundred six thousand, one hundred seven".