13962993824 has 96 divisors (see below), whose sum is σ = 31316108544. Its totient is φ = 6079518720.

The previous prime is 13962993823. The next prime is 13962993833. The reversal of 13962993824 is 42839926931.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13962993824.

It is not an unprimeable number, because it can be changed into a prime (13962993823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 688469 + ... + 708459.

It is an arithmetic number, because the mean of its divisors is an integer number (326209464).

Almost surely, 2^13962993824 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 13962993824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15658054272).

13962993824 is an abundant number, since it is smaller than the sum of its proper divisors (17353114720).

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

13962993824 is a wasteful number, since it uses less digits than its factorization.

13962993824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20110 (or 20102 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 56.

The spelling of 13962993824 in words is "thirteen billion, nine hundred sixty-two million, nine hundred ninety-three thousand, eight hundred twenty-four".