34151768338656 has 192 divisors, whose sum is σ = 91022187896640. Its totient is φ = 11210817208320.

The previous prime is 34151768338601. The next prime is 34151768338669. The reversal of 34151768338656 is 65683386715143.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4305021666 + ... + 4305029598.

It is an arithmetic number, because the mean of its divisors is an integer number (474073895295).

Almost surely, 2^{34151768338656} 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 34151768338656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45511093948320).

34151768338656 is an abundant number, since it is smaller than the sum of its proper divisors (56870419557984).

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

34151768338656 is a wasteful number, since it uses less digits than its factorization.

34151768338656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10509 (or 10501 counting only the distinct ones).

The product of its digits is 261273600, while the sum is 66.

The spelling of 34151768338656 in words is "thirty-four trillion, one hundred fifty-one billion, seven hundred sixty-eight million, three hundred thirty-eight thousand, six hundred fifty-six".