34114848768 has 864 divisors, whose sum is σ = 135440061120. Its totient is φ = 7989166080.

The previous prime is 34114848763. The next prime is 34114848769. The reversal of 34114848768 is 86784841143.

It is a super-2 number, since 2×34114848768² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34114848763) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 793368555 + ... + 793368597.

It is an arithmetic number, because the mean of its divisors is an integer number (156759330).

Almost surely, 2^34114848768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34114848768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67720030560).

34114848768 is an abundant number, since it is smaller than the sum of its proper divisors (101325212352).

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

34114848768 is a wasteful number, since it uses less digits than its factorization.

34114848768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 79 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The spelling of 34114848768 in words is "thirty-four billion, one hundred fourteen million, eight hundred forty-eight thousand, seven hundred sixty-eight".