3431051166114 has 144 divisors (see below), whose sum is σ = 8790589229760. Its totient is φ = 958749068160.

The previous prime is 3431051166107. The next prime is 3431051166119. The reversal of 3431051166114 is 4116611501343.

3431051166114 is a `hidden beast` number, since 3 + 4 + 31 + 0 + 5 + 1 + 1 + 6 + 611 + 4 = 666.

It is a super-2 number, since 2×3431051166114² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3431051166119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32840992 + ... + 32945300.

It is an arithmetic number, because the mean of its divisors is an integer number (61045758540).

Almost surely, 2^{3431051166114} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3431051166114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4395294614880).

3431051166114 is an abundant number, since it is smaller than the sum of its proper divisors (5359538063646).

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

3431051166114 is a wasteful number, since it uses less digits than its factorization.

3431051166114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105337 (or 105321 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 3431051166114 its reverse (4116611501343), we get a palindrome (7547662667457).

The spelling of 3431051166114 in words is "three trillion, four hundred thirty-one billion, fifty-one million, one hundred sixty-six thousand, one hundred fourteen".