14009249372976 has 1920 divisors, whose sum is σ = 52700626944000. Its totient is φ = 3515598028800.

The previous prime is 14009249372971. The next prime is 14009249372999. The reversal of 14009249372976 is 67927394290041.

14009249372976 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 9 + 2 + 493 + 72 + 9 + 76 = 666.

It is not an unprimeable number, because it can be changed into a prime (14009249372971) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 33434962495 + ... + 33434962913.

It is an arithmetic number, because the mean of its divisors is an integer number (27448243200).

Almost surely, 2^{14009249372976} is an apocalyptic number.

14009249372976 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 14009249372976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26350313472000).

14009249372976 is an abundant number, since it is smaller than the sum of its proper divisors (38691377571024).

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

14009249372976 is a wasteful number, since it uses less digits than its factorization.

14009249372976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 14009249372976 in words is "fourteen trillion, nine billion, two hundred forty-nine million, three hundred seventy-two thousand, nine hundred seventy-six".