14401988671896 has 256 divisors, whose sum is σ = 48155043840000. Its totient is φ = 3896006760576.

The previous prime is 14401988671871. The next prime is 14401988671933. The reversal of 14401988671896 is 69817688910441.

14401988671896 is a `hidden beast` number, since 1 + 4 + 401 + 9 + 88 + 67 + 1 + 89 + 6 = 666.

14401988671896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49352865 + ... + 49643823.

It is an arithmetic number, because the mean of its divisors is an integer number (188105640000).

Almost surely, 2^{14401988671896} 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 14401988671896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24077521920000).

14401988671896 is an abundant number, since it is smaller than the sum of its proper divisors (33753055168104).

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

14401988671896 is a wasteful number, since it uses less digits than its factorization.

14401988671896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292723 (or 292713 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 72.

The spelling of 14401988671896 in words is "fourteen trillion, four hundred one billion, nine hundred eighty-eight million, six hundred seventy-one thousand, eight hundred ninety-six".