14402949671968 has 192 divisors, whose sum is σ = 33526056211200. Its totient is φ = 6040343162880.

The previous prime is 14402949671951. The next prime is 14402949672019. The reversal of 14402949671968 is 86917694920441.

It is a junction number, because it is equal to n+sod(n) for n = 14402949671897 and 14402949671906.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2752328680 + ... + 2752333912.

It is an arithmetic number, because the mean of its divisors is an integer number (174614876100).

Almost surely, 2^{14402949671968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14402949671968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16763028105600).

14402949671968 is an abundant number, since it is smaller than the sum of its proper divisors (19123106539232).

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

14402949671968 is a wasteful number, since it uses less digits than its factorization.

14402949671968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8852 (or 8818 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 70.

The spelling of 14402949671968 in words is "fourteen trillion, four hundred two billion, nine hundred forty-nine million, six hundred seventy-one thousand, nine hundred sixty-eight".