10206131166465 has 64 divisors (see below), whose sum is σ = 18681356601600. Its totient is φ = 4716435631104.

The previous prime is 10206131166359. The next prime is 10206131166479. The reversal of 10206131166465 is 56466113160201.

It is not a de Polignac number, because 10206131166465 - 2⁹ = 10206131165953 is a prime.

It is a super-2 number, since 2×10206131166465² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12232354 + ... + 13040043.

It is an arithmetic number, because the mean of its divisors is an integer number (291896196900).

Almost surely, 2^{10206131166465} is an apocalyptic number.

10206131166465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10206131166465 is a deficient number, since it is larger than the sum of its proper divisors (8475225435135).

10206131166465 is a wasteful number, since it uses less digits than its factorization.

10206131166465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25272546.

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 10206131166465 in words is "ten trillion, two hundred six billion, one hundred thirty-one million, one hundred sixty-six thousand, four hundred sixty-five".