14364880376 has 192 divisors, whose sum is σ = 35278558560. Its totient is φ = 5419008000.

The previous prime is 14364880373. The next prime is 14364880379. The reversal of 14364880376 is 67308846341.

It is an interprime number because it is at equal distance from previous prime (14364880373) and next prime (14364880379).

It is a super-3 number, since 3×14364880376³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14364880373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34120646 + ... + 34121066.

Almost surely, 2^14364880376 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 14364880376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17639279280).

14364880376 is an abundant number, since it is smaller than the sum of its proper divisors (20913678184).

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

14364880376 is a wasteful number, since it uses less digits than its factorization.

14364880376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 50.

The spelling of 14364880376 in words is "fourteen billion, three hundred sixty-four million, eight hundred eighty thousand, three hundred seventy-six".