14785456000 has 192 divisors, whose sum is σ = 42764295600. Its totient is φ = 5069030400.

The previous prime is 14785455973. The next prime is 14785456013. The reversal of 14785456000 is 65458741.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 774571 + ... + 793429.

Almost surely, 2^14785456000 is an apocalyptic number.

14785456000 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 14785456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21382147800).

14785456000 is an abundant number, since it is smaller than the sum of its proper divisors (27978839600).

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

14785456000 is an equidigital number, since it uses as much as digits as its factorization.

14785456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18902 (or 18873 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The spelling of 14785456000 in words is "fourteen billion, seven hundred eighty-five million, four hundred fifty-six thousand".