14446872000 has 1344 divisors, whose sum is σ = 63420589440. Its totient is φ = 3096576000.

The previous prime is 14446871953. The next prime is 14446872043. The reversal of 14446872000 is 27864441.

14446872000 is a `hidden beast` number, since 1 + 4 + 446 + 8 + 7 + 200 + 0 = 666.

It is a super-2 number, since 2×14446872000² (a number of 21 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 390455982 + ... + 390456018.

Almost surely, 2^14446872000 is an apocalyptic number.

14446872000 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 14446872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31710294720).

14446872000 is an abundant number, since it is smaller than the sum of its proper divisors (48973717440).

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

14446872000 is a wasteful number, since it uses less digits than its factorization.

14446872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

It can be divided in two parts, 14446 and 872000, that added together give a triangular number (886446 = T₁₃₃₁).

The spelling of 14446872000 in words is "fourteen billion, four hundred forty-six million, eight hundred seventy-two thousand".