14146704000 has 1024 divisors, whose sum is σ = 61483968000. Its totient is φ = 3151872000.

The previous prime is 14146703993. The next prime is 14146704007. The reversal of 14146704000 is 40764141.

It is an interprime number because it is at equal distance from previous prime (14146703993) and next prime (14146704007).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14146704007) 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, 61775886 + ... + 61776114.

Almost surely, 2^14146704000 is an apocalyptic number.

14146704000 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 14146704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30741984000).

14146704000 is an abundant number, since it is smaller than the sum of its proper divisors (47337264000).

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

14146704000 is a wasteful number, since it uses less digits than its factorization.

14146704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 14146704000 in words is "fourteen billion, one hundred forty-six million, seven hundred four thousand".