14959219968 has 576 divisors, whose sum is σ = 55994480640. Its totient is φ = 3874314240.

The previous prime is 14959219967. The next prime is 14959219981. The reversal of 14959219968 is 86991295941.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14959219967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43109971 + ... + 43110317.

It is an arithmetic number, because the mean of its divisors is an integer number (97212640).

Almost surely, 2^14959219968 is an apocalyptic number.

14959219968 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 14959219968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27997240320).

14959219968 is an abundant number, since it is smaller than the sum of its proper divisors (41035260672).

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

14959219968 is an frugal number, since it uses more digits than its factorization.

14959219968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 370 counting only the distinct ones).

The product of its digits is 12597120, while the sum is 63.

The spelling of 14959219968 in words is "fourteen billion, nine hundred fifty-nine million, two hundred nineteen thousand, nine hundred sixty-eight".