349118276121216 has 1120 divisors, whose sum is σ = 1216767978883380. Its totient is φ = 99367157514240.

The previous prime is 349118276121151. The next prime is 349118276121287. The reversal of 349118276121216 is 612121672811943.

349118276121216 is a `hidden beast` number, since 3 + 4 + 9 + 1 + 1 + 8 + 2 + 7 + 612 + 1 + 2 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 347653924430400 + 1464351690816 = 18645480^2 + 1210104^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 528166831926 + ... + 528166832586.

Almost surely, 2^{349118276121216} is an apocalyptic number.

349118276121216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349118276121216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608383989441690).

349118276121216 is an abundant number, since it is smaller than the sum of its proper divisors (867649702762164).

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

349118276121216 is an frugal number, since it uses more digits than its factorization.

349118276121216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1106 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 349118276121216 in words is "three hundred forty-nine trillion, one hundred eighteen billion, two hundred seventy-six million, one hundred twenty-one thousand, two hundred sixteen".