34663433097216 has 1664 divisors, whose sum is σ = 122487244185600. Its totient is φ = 8707695575040.

The previous prime is 34663433097211. The next prime is 34663433097233. The reversal of 34663433097216 is 61279033436643.

It is a super-2 number, since 2×34663433097216² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34663433097211) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 207565467565 + ... + 207565467731.

Almost surely, 2^{34663433097216} 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 34663433097216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61243622092800).

34663433097216 is an abundant number, since it is smaller than the sum of its proper divisors (87823811088384).

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

34663433097216 is an equidigital number, since it uses as much as digits as its factorization.

34663433097216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 57.

The spelling of 34663433097216 in words is "thirty-four trillion, six hundred sixty-three billion, four hundred thirty-three million, ninety-seven thousand, two hundred sixteen".