34553323668864 has 1024 divisors, whose sum is σ = 130928526489600. Its totient is φ = 7782562529280.

The previous prime is 34553323668803. The next prime is 34553323668883. The reversal of 34553323668864 is 46886632335543.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 34553323668795 and 34553323668804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 412402144 + ... + 412485920.

It is an arithmetic number, because the mean of its divisors is an integer number (127859889150).

Almost surely, 2^{34553323668864} 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 34553323668864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65464263244800).

34553323668864 is an abundant number, since it is smaller than the sum of its proper divisors (96375202820736).

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

34553323668864 is a wasteful number, since it uses less digits than its factorization.

34553323668864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83891 (or 83879 counting only the distinct ones).

The product of its digits is 895795200, while the sum is 66.

The spelling of 34553323668864 in words is "thirty-four trillion, five hundred fifty-three billion, three hundred twenty-three million, six hundred sixty-eight thousand, eight hundred sixty-four".