14674828264272 has 2400 divisors, whose sum is σ = 53875915720704. Its totient is φ = 3832012800000.

The previous prime is 14674828264223. The next prime is 14674828264277. The reversal of 14674828264272 is 27246282847641.

14674828264272 is a `hidden beast` number, since 1 + 4 + 6 + 7 + 482 + 82 + 6 + 4 + 2 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14674828264277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 206687721997 + ... + 206687722067.

Almost surely, 2^{14674828264272} is an apocalyptic number.

14674828264272 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 14674828264272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26937957860352).

14674828264272 is an abundant number, since it is smaller than the sum of its proper divisors (39201087456432).

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

14674828264272 is a wasteful number, since it uses less digits than its factorization.

14674828264272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 237 counting only the distinct ones).

The product of its digits is 115605504, while the sum is 63.

The spelling of 14674828264272 in words is "fourteen trillion, six hundred seventy-four billion, eight hundred twenty-eight million, two hundred sixty-four thousand, two hundred seventy-two".