14968803960 has 384 divisors, whose sum is σ = 57510984960. Its totient is φ = 3335270400.

The previous prime is 14968803947. The next prime is 14968803973. The reversal of 14968803960 is 6930886941.

It is an interprime number because it is at equal distance from previous prime (14968803947) and next prime (14968803973).

It is a junction number, because it is equal to n+sod(n) for n = 14968803897 and 14968803906.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2892175 + ... + 2897345.

It is an arithmetic number, because the mean of its divisors is an integer number (149768190).

Almost surely, 2^14968803960 is an apocalyptic number.

14968803960 is a gapful number since it is divisible by the number (10) 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 14968803960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28755492480).

14968803960 is an abundant number, since it is smaller than the sum of its proper divisors (42542181000).

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

14968803960 is a wasteful number, since it uses less digits than its factorization.

14968803960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5259 (or 5252 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 14968803960 in words is "fourteen billion, nine hundred sixty-eight million, eight hundred three thousand, nine hundred sixty".