34614173650056 has 1536 divisors, whose sum is σ = 131102494064640. Its totient is φ = 7451136000000.

The previous prime is 34614173650051. The next prime is 34614173650093. The reversal of 34614173650056 is 65005637141643.

It is a super-2 number, since 2×34614173650056² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 34614173649990 and 34614173650008.

It is not an unprimeable number, because it can be changed into a prime (34614173650051) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6292339306 + ... + 6292344806.

It is an arithmetic number, because the mean of its divisors is an integer number (85353186240).

Almost surely, 2^{34614173650056} 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 34614173650056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65551247032320).

34614173650056 is an abundant number, since it is smaller than the sum of its proper divisors (96488320414584).

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

34614173650056 is a wasteful number, since it uses less digits than its factorization.

34614173650056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5667 (or 5656 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 51.

The spelling of 34614173650056 in words is "thirty-four trillion, six hundred fourteen billion, one hundred seventy-three million, six hundred fifty thousand, fifty-six".