14085456000 has 1024 divisors, whose sum is σ = 60368855040. Its totient is φ = 2820096000.

The previous prime is 14085455959. The next prime is 14085456001. The reversal of 14085456000 is 65458041.

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 not an unprimeable number, because it can be changed into a prime (14085456001) 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, 136751949 + ... + 136752051.

It is an arithmetic number, because the mean of its divisors is an integer number (58953960).

Almost surely, 2^14085456000 is an apocalyptic number.

14085456000 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 14085456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30184427520).

14085456000 is an abundant number, since it is smaller than the sum of its proper divisors (46283399040).

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

14085456000 is a wasteful number, since it uses less digits than its factorization.

14085456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 14085456000 in words is "fourteen billion, eighty-five million, four hundred fifty-six thousand".