14648907463680 has 2112 divisors, whose sum is σ = 60232657305600. Its totient is φ = 2970079985664.

The previous prime is 14648907463649. The next prime is 14648907463709. The reversal of 14648907463680 is 8636470984641.

14648907463680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14648907463680² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 73612600221 + ... + 73612600419.

Almost surely, 2^{14648907463680} is an apocalyptic number.

14648907463680 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 14648907463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30116328652800).

14648907463680 is an abundant number, since it is smaller than the sum of its proper divisors (45583749841920).

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

14648907463680 is a wasteful number, since it uses less digits than its factorization.

14648907463680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 66.

The spelling of 14648907463680 in words is "fourteen trillion, six hundred forty-eight billion, nine hundred seven million, four hundred sixty-three thousand, six hundred eighty".