3123160047144 has 96 divisors (see below), whose sum is σ = 8535510383400. Its totient is φ = 1031586877440.

The previous prime is 3123160047101. The next prime is 3123160047167. The reversal of 3123160047144 is 4417400613213.

3123160047144 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 1 + 600 + 4 + 7 + 1 + 44 = 666.

3123160047144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2724935944644 + 398224102500 = 1650738^2 + 631050^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3123160047099 and 3123160047108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34622452 + ... + 34712540.

Almost surely, 2^{3123160047144} 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 3123160047144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4267755191700).

3123160047144 is an abundant number, since it is smaller than the sum of its proper divisors (5412350336256).

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

3123160047144 is a wasteful number, since it uses less digits than its factorization.

3123160047144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94475 (or 94468 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 3123160047144 in words is "three trillion, one hundred twenty-three billion, one hundred sixty million, forty-seven thousand, one hundred forty-four".