13965823872 has 768 divisors, whose sum is σ = 55913625600. Its totient is φ = 3339325440.

The previous prime is 13965823871. The next prime is 13965823873. The reversal of 13965823872 is 27832856931.

It is an interprime number because it is at equal distance from previous prime (13965823871) and next prime (13965823873).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

Its product of digits (4354560) is a multiple of the sum of its prime factors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13965823871) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38053833 + ... + 38054199.

It is an arithmetic number, because the mean of its divisors is an integer number (72804200).

Almost surely, 2^13965823872 is an apocalyptic number.

13965823872 is a gapful number since it is divisible by the number (12) 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 13965823872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27956812800).

13965823872 is an abundant number, since it is smaller than the sum of its proper divisors (41947801728).

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

13965823872 is a wasteful number, since it uses less digits than its factorization.

13965823872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 403 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 13965823872 in words is "thirteen billion, nine hundred sixty-five million, eight hundred twenty-three thousand, eight hundred seventy-two".