2014142711616 has 448 divisors, whose sum is σ = 7117256540160. Its totient is φ = 546392770560.

The previous prime is 2014142711587. The next prime is 2014142711627. The reversal of 2014142711616 is 6161172414102.

2014142711616 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 1 + 4 + 27 + 11 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

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, 19823055 + ... + 19924401.

Almost surely, 2^{2014142711616} 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 2014142711616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3558628270080).

2014142711616 is an abundant number, since it is smaller than the sum of its proper divisors (5103113828544).

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

2014142711616 is a wasteful number, since it uses less digits than its factorization.

2014142711616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101459 (or 101443 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 2014142711616 in words is "two trillion, fourteen billion, one hundred forty-two million, seven hundred eleven thousand, six hundred sixteen".