2014265712672 has 288 divisors, whose sum is σ = 6282082759680. Its totient is φ = 610398996480.

The previous prime is 2014265712671. The next prime is 2014265712713. The reversal of 2014265712672 is 2762175624102.

2014265712672 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 2 + 6 + 571 + 2 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2014265712672² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2014265712671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9474613 + ... + 9684875.

It is an arithmetic number, because the mean of its divisors is an integer number (21812787360).

Almost surely, 2^{2014265712672} 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 2014265712672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3141041379840).

2014265712672 is an abundant number, since it is smaller than the sum of its proper divisors (4267817047008).

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

2014265712672 is a wasteful number, since it uses less digits than its factorization.

2014265712672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210376 (or 210365 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 2014265712672 in words is "two trillion, fourteen billion, two hundred sixty-five million, seven hundred twelve thousand, six hundred seventy-two".