14137284096 has 240 divisors, whose sum is σ = 46256049840. Its totient is φ = 4120657920.

The previous prime is 14137284079. The next prime is 14137284097. The reversal of 14137284096 is 69048273141.

14137284096 is a `hidden beast` number, since 1 + 413 + 72 + 84 + 0 + 96 = 666.

It is a super-2 number, since 2×14137284096² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14137284097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1131966 + ... + 1144386.

It is an arithmetic number, because the mean of its divisors is an integer number (192733541).

Almost surely, 2^14137284096 is an apocalyptic number.

14137284096 is a gapful number since it is divisible by the number (16) 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 14137284096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23128024920).

14137284096 is an abundant number, since it is smaller than the sum of its proper divisors (32118765744).

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

14137284096 is a wasteful number, since it uses less digits than its factorization.

14137284096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12477 (or 12458 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 14137284096 in words is "fourteen billion, one hundred thirty-seven million, two hundred eighty-four thousand, ninety-six".