14778783807480 has 512 divisors, whose sum is σ = 62176601548800. Its totient is φ = 3070914716160.

The previous prime is 14778783807479. The next prime is 14778783807551. The reversal of 14778783807480 is 8470838787741.

14778783807480 is a `hidden beast` number, since 1 + 4 + 7 + 78 + 78 + 3 + 8 + 0 + 7 + 480 = 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 = 14778783807399 and 14778783807408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5638954 + ... + 7832966.

It is an arithmetic number, because the mean of its divisors is an integer number (121438674900).

Almost surely, 2^{14778783807480} is an apocalyptic number.

14778783807480 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 14778783807480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31088300774400).

14778783807480 is an abundant number, since it is smaller than the sum of its proper divisors (47397817741320).

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

14778783807480 is a wasteful number, since it uses less digits than its factorization.

14778783807480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2194063 (or 2194041 counting only the distinct ones).

The product of its (nonzero) digits is 472055808, while the sum is 72.

The spelling of 14778783807480 in words is "fourteen trillion, seven hundred seventy-eight billion, seven hundred eighty-three million, eight hundred seven thousand, four hundred eighty".