13976312832 has 220 divisors, whose sum is σ = 42027530160. Its totient is φ = 4626284544.

The previous prime is 13976312827. The next prime is 13976312837. The reversal of 13976312832 is 23821367931.

13976312832 is a `hidden beast` number, since 1 + 3 + 9 + 7 + 631 + 2 + 8 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13976312827) and next prime (13976312837).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13976312837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13851144 + ... + 13852152.

It is an arithmetic number, because the mean of its divisors is an integer number (191034228).

Almost surely, 2^13976312832 is an apocalyptic number.

13976312832 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 13976312832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21013765080).

13976312832 is an abundant number, since it is smaller than the sum of its proper divisors (28051217328).

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

13976312832 is a wasteful number, since it uses less digits than its factorization.

13976312832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1181 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The spelling of 13976312832 in words is "thirteen billion, nine hundred seventy-six million, three hundred twelve thousand, eight hundred thirty-two".