14684406000 has 320 divisors, whose sum is σ = 51900106752. Its totient is φ = 3542400000.

The previous prime is 14684405999. The next prime is 14684406029. The reversal of 14684406000 is 60448641.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17885590 + ... + 17886410.

Almost surely, 2^14684406000 is an apocalyptic number.

14684406000 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 14684406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25950053376).

14684406000 is an abundant number, since it is smaller than the sum of its proper divisors (37215700752).

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

14684406000 is a wasteful number, since it uses less digits than its factorization.

14684406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 14684406000 in words is "fourteen billion, six hundred eighty-four million, four hundred six thousand".