3163447113120 has 1152 divisors, whose sum is σ = 13369979750400. Its totient is φ = 665096085504.

The previous prime is 3163447113107. The next prime is 3163447113121. The reversal of 3163447113120 is 213117443613.

3163447113120 is a `hidden beast` number, since 3 + 1 + 6 + 34 + 471 + 131 + 20 = 666.

It is a super-2 number, since 2×3163447113120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3163447113121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 937871754 + ... + 937875126.

It is an arithmetic number, because the mean of its divisors is an integer number (11605885200).

Almost surely, 2^{3163447113120} is an apocalyptic number.

3163447113120 is a gapful number since it is divisible by the number (30) 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 3163447113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6684989875200).

3163447113120 is an abundant number, since it is smaller than the sum of its proper divisors (10206532637280).

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

3163447113120 is a wasteful number, since it uses less digits than its factorization.

3163447113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 3163447113120 in words is "three trillion, one hundred sixty-three billion, four hundred forty-seven million, one hundred thirteen thousand, one hundred twenty".