10206440645112 has 24 divisors (see below), whose sum is σ = 27642443414040. Its totient is φ = 3402146881680.

The previous prime is 10206440645111. The next prime is 10206440645123. The reversal of 10206440645112 is 21154604460201.

10206440645112 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 6 + 4 + 4 + 0 + 645 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10206440645111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70878059964 + ... + 70878060107.

It is an arithmetic number, because the mean of its divisors is an integer number (1151768475585).

Almost surely, 2^{10206440645112} is an apocalyptic number.

10206440645112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10206440645112 is an abundant number, since it is smaller than the sum of its proper divisors (17436002768928).

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

10206440645112 is a wasteful number, since it uses less digits than its factorization.

10206440645112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141756120083 (or 141756120076 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 10206440645112 in words is "ten trillion, two hundred six billion, four hundred forty million, six hundred forty-five thousand, one hundred twelve".