10206413561214 has 96 divisors (see below), whose sum is σ = 24712785377280. Its totient is φ = 3138427791072.

The previous prime is 10206413561203. The next prime is 10206413561231. The reversal of 10206413561214 is 41216531460201.

10206413561214 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 6 + 4 + 1 + 35 + 612 + 1 + 4 = 666.

It is a congruent number.

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, 9384847 + ... + 10415765.

It is an arithmetic number, because the mean of its divisors is an integer number (257424847680).

Almost surely, 2^{10206413561214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10206413561214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12356392688640).

10206413561214 is an abundant number, since it is smaller than the sum of its proper divisors (14506371816066).

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

10206413561214 is a wasteful number, since it uses less digits than its factorization.

10206413561214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032516 (or 1032504 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10206413561214 in words is "ten trillion, two hundred six billion, four hundred thirteen million, five hundred sixty-one thousand, two hundred fourteen".