14146668480 has 336 divisors, whose sum is σ = 52471051776. Its totient is φ = 3219793920.

The previous prime is 14146668391. The next prime is 14146668491. The reversal of 14146668480 is 8486664141.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14628957 + ... + 14629923.

Almost surely, 2^14146668480 is an apocalyptic number.

14146668480 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 14146668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26235525888).

14146668480 is an abundant number, since it is smaller than the sum of its proper divisors (38324383296).

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

14146668480 is a wasteful number, since it uses less digits than its factorization.

14146668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 14146668480 in words is "fourteen billion, one hundred forty-six million, six hundred sixty-eight thousand, four hundred eighty".