34517081481450 has 192 divisors, whose sum is σ = 87901848207360. Its totient is φ = 8958851516160.

The previous prime is 34517081481433. The next prime is 34517081481481. The reversal of 34517081481450 is 5418418071543.

It is a junction number, because it is equal to n+sod(n) for n = 34517081481393 and 34517081481402.

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, 2996528791 + ... + 2996540309.

It is an arithmetic number, because the mean of its divisors is an integer number (457822126080).

Almost surely, 2^{34517081481450} is an apocalyptic number.

34517081481450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34517081481450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43950924103680).

34517081481450 is an abundant number, since it is smaller than the sum of its proper divisors (53384766725910).

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

34517081481450 is a wasteful number, since it uses less digits than its factorization.

34517081481450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13173 (or 13168 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 51.

The spelling of 34517081481450 in words is "thirty-four trillion, five hundred seventeen billion, eighty-one million, four hundred eighty-one thousand, four hundred fifty".