34359522947568 has 1260 divisors, whose sum is σ = 126761071557888. Its totient is φ = 8987289292800.

The previous prime is 34359522947513. The next prime is 34359522947569. The reversal of 34359522947568 is 86574922595343.

34359522947568 is a `hidden beast` number, since 3 + 4 + 3 + 5 + 9 + 52 + 2 + 9 + 4 + 7 + 568 = 666.

It is a super-2 number, since 2×34359522947568² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 34359522947496 and 34359522947505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34359522947569) by changing a digit.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 12266875768 + ... + 12266878568.

Almost surely, 2^{34359522947568} 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 34359522947568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63380535778944).

34359522947568 is an abundant number, since it is smaller than the sum of its proper divisors (92401548610320).

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

34359522947568 is a wasteful number, since it uses less digits than its factorization.

34359522947568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2994 (or 2953 counting only the distinct ones).

The product of its digits is 1959552000, while the sum is 72.

The spelling of 34359522947568 in words is "thirty-four trillion, three hundred fifty-nine billion, five hundred twenty-two million, nine hundred forty-seven thousand, five hundred sixty-eight".