3113193069216 has 288 divisors, whose sum is σ = 9512885229120. Its totient is φ = 1000886575104.

The previous prime is 3113193069179. The next prime is 3113193069271. The reversal of 3113193069216 is 6129603913113.

3113193069216 is a `hidden beast` number, since 3 + 1 + 1 + 319 + 306 + 9 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24251536 + ... + 24379568.

It is an arithmetic number, because the mean of its divisors is an integer number (33030851490).

Almost surely, 2^{3113193069216} is an apocalyptic number.

3113193069216 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 3113193069216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4756442614560).

3113193069216 is an abundant number, since it is smaller than the sum of its proper divisors (6399692159904).

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

3113193069216 is a wasteful number, since it uses less digits than its factorization.

3113193069216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128170 (or 128150 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 3113193069216 in words is "three trillion, one hundred thirteen billion, one hundred ninety-three million, sixty-nine thousand, two hundred sixteen".