13968376576 has 144 divisors (see below), whose sum is σ = 35075432448. Its totient is φ = 5393203200.

The previous prime is 13968376573. The next prime is 13968376577. The reversal of 13968376576 is 67567386931.

It is not an unprimeable number, because it can be changed into a prime (13968376573) 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, 2224321 + ... + 2230591.

It is an arithmetic number, because the mean of its divisors is an integer number (243579392).

Almost surely, 2^13968376576 is an apocalyptic number.

13968376576 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 13968376576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17537716224).

13968376576 is an abundant number, since it is smaller than the sum of its proper divisors (21107055872).

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

13968376576 is a wasteful number, since it uses less digits than its factorization.

13968376576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6418 (or 6404 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 61.

The spelling of 13968376576 in words is "thirteen billion, nine hundred sixty-eight million, three hundred seventy-six thousand, five hundred seventy-six".