34166766766144 has 56 divisors (see below), whose sum is σ = 72473038541568. Its totient is φ = 15942075663360.

The previous prime is 34166766766133. The next prime is 34166766766183. The reversal of 34166766766144 is 44166766766143.

It is a self number, because there is not a number n which added to its sum of digits gives 34166766766144.

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, 283002072 + ... + 283122775.

It is an arithmetic number, because the mean of its divisors is an integer number (1294161402528).

Almost surely, 2^{34166766766144} is an apocalyptic number.

It is an amenable number.

34166766766144 is an abundant number, since it is smaller than the sum of its proper divisors (38306271775424).

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

34166766766144 is a wasteful number, since it uses less digits than its factorization.

34166766766144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566124923 (or 566124913 counting only the distinct ones).

The product of its digits is 438939648, while the sum is 67.

Subtracting 34166766766144 from its reverse (44166766766143), we obtain a palindrome (9999999999999).

The spelling of 34166766766144 in words is "thirty-four trillion, one hundred sixty-six billion, seven hundred sixty-six million, seven hundred sixty-six thousand, one hundred forty-four".