349851059151160 has 128 divisors (see below), whose sum is σ = 902316134977920. Its totient is φ = 119589074583552.

The previous prime is 349851059151151. The next prime is 349851059151163. The reversal of 349851059151160 is 61151950158943.

It is a junction number, because it is equal to n+sod(n) for n = 349851059151095 and 349851059151104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349851059151163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5674119052 + ... + 5674180708.

It is an arithmetic number, because the mean of its divisors is an integer number (7049344804515).

Almost surely, 2^{349851059151160} 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 349851059151160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451158067488960).

349851059151160 is an abundant number, since it is smaller than the sum of its proper divisors (552465075826760).

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

349851059151160 is a wasteful number, since it uses less digits than its factorization.

349851059151160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122145 (or 122141 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 58.

The spelling of 349851059151160 in words is "three hundred forty-nine trillion, eight hundred fifty-one billion, fifty-nine million, one hundred fifty-one thousand, one hundred sixty".