14780138143680 has 2352 divisors, whose sum is σ = 66696575572800. Its totient is φ = 3115593621504.

The previous prime is 14780138143613. The next prime is 14780138143733. The reversal of 14780138143680 is 8634183108741.

14780138143680 is a `hidden beast` number, since 1 + 4 + 78 + 0 + 138 + 1 + 436 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2352).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 13522541214 + ... + 13522542306.

Almost surely, 2^{14780138143680} is an apocalyptic number.

14780138143680 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 14780138143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33348287786400).

14780138143680 is an abundant number, since it is smaller than the sum of its proper divisors (51916437429120).

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

14780138143680 is an equidigital number, since it uses as much as digits as its factorization.

14780138143680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 14780138143680 in words is "fourteen trillion, seven hundred eighty billion, one hundred thirty-eight million, one hundred forty-three thousand, six hundred eighty".