34451664626652 has 288 divisors, whose sum is σ = 100883627228160. Its totient is φ = 8958208296960.

The previous prime is 34451664626527. The next prime is 34451664626669. The reversal of 34451664626652 is 25662646615443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3688215502 + ... + 3688224842.

It is an arithmetic number, because the mean of its divisors is an integer number (350290372320).

Almost surely, 2^{34451664626652} 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 34451664626652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50441813614080).

34451664626652 is an abundant number, since it is smaller than the sum of its proper divisors (66431962601508).

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

34451664626652 is a wasteful number, since it uses less digits than its factorization.

34451664626652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13013 (or 12998 counting only the distinct ones).

The product of its digits is 149299200, while the sum is 60.

The spelling of 34451664626652 in words is "thirty-four trillion, four hundred fifty-one billion, six hundred sixty-four million, six hundred twenty-six thousand, six hundred fifty-two".