10206450344345 has 8 divisors (see below), whose sum is σ = 12248242084680. Its totient is φ = 8164825827840.

The previous prime is 10206450344339. The next prime is 10206450344353. The reversal of 10206450344345 is 54344305460201.

10206450344345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1075561890649 + 9130888453696 = 1037093^2 + 3021736^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10206450344345 - 2⁶ = 10206450344281 is a prime.

It is a super-3 number, since 3×10206450344345³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41671640 + ... + 41915849.

It is an arithmetic number, because the mean of its divisors is an integer number (1531030260585).

Almost surely, 2^{10206450344345} is an apocalyptic number.

It is an amenable number.

10206450344345 is a deficient number, since it is larger than the sum of its proper divisors (2041791740335).

10206450344345 is an equidigital number, since it uses as much as digits as its factorization.

10206450344345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83611915.

The product of its (nonzero) digits is 691200, while the sum is 41.

The spelling of 10206450344345 in words is "ten trillion, two hundred six billion, four hundred fifty million, three hundred forty-four thousand, three hundred forty-five".