34133171616448 has 112 divisors (see below), whose sum is σ = 68963480340480. Its totient is φ = 16758685845504.

The previous prime is 34133171616419. The next prime is 34133171616451. The reversal of 34133171616448 is 84461617133143.

It is a junction number, because it is equal to n+sod(n) for n = 34133171616395 and 34133171616404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2294042673 + ... + 2294057551.

Almost surely, 2^{34133171616448} 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 34133171616448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34481740170240).

34133171616448 is an abundant number, since it is smaller than the sum of its proper divisors (34830308724032).

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

34133171616448 is a wasteful number, since it uses less digits than its factorization.

34133171616448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17094 (or 17084 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 52.

The spelling of 34133171616448 in words is "thirty-four trillion, one hundred thirty-three billion, one hundred seventy-one million, six hundred sixteen thousand, four hundred forty-eight".