14985432000 has 1792 divisors, whose sum is σ = 73947893760. Its totient is φ = 2875392000.

The previous prime is 14985431977. The next prime is 14985432061. The reversal of 14985432000 is 23458941.

14985432000 is a `hidden beast` number, since 1 + 4 + 98 + 543 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 282743974 + ... + 282744026.

Almost surely, 2^14985432000 is an apocalyptic number.

14985432000 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 14985432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36973946880).

14985432000 is an abundant number, since it is smaller than the sum of its proper divisors (58962461760).

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

14985432000 is a wasteful number, since it uses less digits than its factorization.

14985432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

It can be divided in two parts, 14985 and 432000, that added together give a triangular number (446985 = T₉₄₅).

The spelling of 14985432000 in words is "fourteen billion, nine hundred eighty-five million, four hundred thirty-two thousand".