3143612070144 has 576 divisors, whose sum is σ = 11458670540800. Its totient is φ = 827840176128.

The previous prime is 3143612070107. The next prime is 3143612070191. The reversal of 3143612070144 is 4410702163413.

3143612070144 is a `hidden beast` number, since 3 + 1 + 436 + 1 + 207 + 0 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 3143612070099 and 3143612070108.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 464821707 + ... + 464828469.

Almost surely, 2^{3143612070144} 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 3143612070144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5729335270400).

3143612070144 is an abundant number, since it is smaller than the sum of its proper divisors (8315058470656).

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

3143612070144 is a wasteful number, since it uses less digits than its factorization.

3143612070144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7547 (or 7527 counting only the distinct ones).

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

The spelling of 3143612070144 in words is "three trillion, one hundred forty-three billion, six hundred twelve million, seventy thousand, one hundred forty-four".