34054352532116 has 96 divisors (see below), whose sum is σ = 71429789319168. Its totient is φ = 13898989428480.

The previous prime is 34054352532103. The next prime is 34054352532127. The reversal of 34054352532116 is 61123525345043.

It is a super-2 number, since 2×34054352532116² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27463661 + ... + 28676843.

It is an arithmetic number, because the mean of its divisors is an integer number (744060305408).

Almost surely, 2^{34054352532116} 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 34054352532116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35714894659584).

34054352532116 is an abundant number, since it is smaller than the sum of its proper divisors (37375436787052).

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

34054352532116 is a wasteful number, since it uses less digits than its factorization.

34054352532116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213741 (or 1213739 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 44.

Adding to 34054352532116 its reverse (61123525345043), we get a palindrome (95177877877159).

The spelling of 34054352532116 in words is "thirty-four trillion, fifty-four billion, three hundred fifty-two million, five hundred thirty-two thousand, one hundred sixteen".