3114066142116 has 144 divisors (see below), whose sum is σ = 8408742451200. Its totient is φ = 969440995776.

The previous prime is 3114066142097. The next prime is 3114066142147. The reversal of 3114066142116 is 6112416604113.

3114066142116 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 0 + 6 + 614 + 21 + 16 = 666.

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

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, 16210315 + ... + 16401293.

It is an arithmetic number, because the mean of its divisors is an integer number (58394044800).

Almost surely, 2^{3114066142116} is an apocalyptic number.

3114066142116 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 3114066142116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4204371225600).

3114066142116 is an abundant number, since it is smaller than the sum of its proper divisors (5294676309084).

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

3114066142116 is a wasteful number, since it uses less digits than its factorization.

3114066142116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191478 (or 191473 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 3114066142116 in words is "three trillion, one hundred fourteen billion, sixty-six million, one hundred forty-two thousand, one hundred sixteen".