34143814656 has 660 divisors, whose sum is σ = 122884455936. Its totient is φ = 9405849600.

The previous prime is 34143814631. The next prime is 34143814667. The reversal of 34143814656 is 65641834143.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 125991801 + ... + 125992071.

Almost surely, 2^34143814656 is an apocalyptic number.

34143814656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34143814656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61442227968).

34143814656 is an abundant number, since it is smaller than the sum of its proper divisors (88740641280).

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

34143814656 is a wasteful number, since it uses less digits than its factorization.

34143814656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 314 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 34143814656 in words is "thirty-four billion, one hundred forty-three million, eight hundred fourteen thousand, six hundred fifty-six".