10146206117466 has 64 divisors (see below), whose sum is σ = 22855521686400. Its totient is φ = 3336080485248.

The previous prime is 10146206117419. The next prime is 10146206117501. The reversal of 10146206117466 is 66471160264101.

10146206117466 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 6 + 20 + 611 + 7 + 4 + 6 + 6 = 666.

It is a super-2 number, since 2×10146206117466² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2421981 + ... + 5114528.

It is an arithmetic number, because the mean of its divisors is an integer number (357117526350).

Almost surely, 2^{10146206117466} is an apocalyptic number.

10146206117466 is an abundant number, since it is smaller than the sum of its proper divisors (12709315568934).

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

10146206117466 is a wasteful number, since it uses less digits than its factorization.

10146206117466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7536860 (or 7536854 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10146206117466 in words is "ten trillion, one hundred forty-six billion, two hundred six million, one hundred seventeen thousand, four hundred sixty-six".