14881603968 has 384 divisors, whose sum is σ = 53851299840. Its totient is φ = 3832012800.

The previous prime is 14881603963. The next prime is 14881603969. The reversal of 14881603968 is 86930618841.

14881603968 is a `hidden beast` number, since 14 + 88 + 160 + 396 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14881603963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11264748 + ... + 11266068.

It is an arithmetic number, because the mean of its divisors is an integer number (140237760).

Almost surely, 2^14881603968 is an apocalyptic number.

14881603968 is a gapful number since it is divisible by the number (18) 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 14881603968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26925649920).

14881603968 is an abundant number, since it is smaller than the sum of its proper divisors (38969695872).

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

14881603968 is a wasteful number, since it uses less digits than its factorization.

14881603968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

It can be divided in two parts, 1488160 and 3968, that added together give a triangular number (1492128 = T₁₇₂₇).

The spelling of 14881603968 in words is "fourteen billion, eight hundred eighty-one million, six hundred three thousand, nine hundred sixty-eight".