34165056144 has 20 divisors (see below), whose sum is σ = 88259728496. Its totient is φ = 11388352032.

The previous prime is 34165056071. The next prime is 34165056161. The reversal of 34165056144 is 44165056143.

It is a super-2 number, since 2×34165056144² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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 3 ways as a sum of consecutive naturals, for example, 355885954 + ... + 355886049.

Almost surely, 2^34165056144 is an apocalyptic number.

It is an amenable number.

34165056144 is an abundant number, since it is smaller than the sum of its proper divisors (54094672352).

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

34165056144 is a wasteful number, since it uses less digits than its factorization.

34165056144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711772014 (or 711772008 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

Subtracting 34165056144 from its reverse (44165056143), we obtain a palindrome (9999999999).

The spelling of 34165056144 in words is "thirty-four billion, one hundred sixty-five million, fifty-six thousand, one hundred forty-four".