14801909467968 has 896 divisors, whose sum is σ = 52462554439680. Its totient is φ = 4001107968000.

The previous prime is 14801909467967. The next prime is 14801909467973. The reversal of 14801909467968 is 86976490910841.

14801909467968 is a `hidden beast` number, since 1 + 480 + 19 + 0 + 9 + 4 + 6 + 79 + 68 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 14801909467896 and 14801909467905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14801909467967) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16801258888 + ... + 16801259768.

It is an arithmetic number, because the mean of its divisors is an integer number (58551958080).

Almost surely, 2^{14801909467968} is an apocalyptic number.

14801909467968 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 14801909467968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26231277219840).

14801909467968 is an abundant number, since it is smaller than the sum of its proper divisors (37660644971712).

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

14801909467968 is a wasteful number, since it uses less digits than its factorization.

14801909467968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 72.

The spelling of 14801909467968 in words is "fourteen trillion, eight hundred one billion, nine hundred nine million, four hundred sixty-seven thousand, nine hundred sixty-eight".