2014396472088 has 2016 divisors, whose sum is σ = 8172296294400. Its totient is φ = 453949816320.

The previous prime is 2014396472051. The next prime is 2014396472089. The reversal of 2014396472088 is 8802746934102.

2014396472088 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 3 + 96 + 472 + 0 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014396472089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 15861389481 + ... + 15861389607.

It is an arithmetic number, because the mean of its divisors is an integer number (4053718400).

Almost surely, 2^{2014396472088} is an apocalyptic number.

2014396472088 is a gapful number since it is divisible by the number (28) 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 2014396472088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4086148147200).

2014396472088 is an abundant number, since it is smaller than the sum of its proper divisors (6157899822312).

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

2014396472088 is a wasteful number, since it uses less digits than its factorization.

2014396472088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2014396472088 in words is "two trillion, fourteen billion, three hundred ninety-six million, four hundred seventy-two thousand, eighty-eight".