14349128976 has 480 divisors, whose sum is σ = 50956738560. Its totient is φ = 3669359616.

The previous prime is 14349128867. The next prime is 14349129007. The reversal of 14349128976 is 67982194341.

14349128976 is a `hidden beast` number, since 1 + 4 + 3 + 491 + 2 + 89 + 76 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85922845 + ... + 85923011.

It is an arithmetic number, because the mean of its divisors is an integer number (106159872).

Almost surely, 2^14349128976 is an apocalyptic number.

14349128976 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 14349128976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25478369280).

14349128976 is an abundant number, since it is smaller than the sum of its proper divisors (36607609584).

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

14349128976 is a wasteful number, since it uses less digits than its factorization.

14349128976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 354 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 14349128976 in words is "fourteen billion, three hundred forty-nine million, one hundred twenty-eight thousand, nine hundred seventy-six".