14255946000 has 640 divisors, whose sum is σ = 53816555520. Its totient is φ = 3603456000.

The previous prime is 14255945987. The next prime is 14255946011. The reversal of 14255946000 is 64955241.

14255946000 is a `hidden beast` number, since 1 + 4 + 2 + 5 + 594 + 60 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 104057932 + ... + 104058068.

It is an arithmetic number, because the mean of its divisors is an integer number (84088368).

Almost surely, 2^14255946000 is an apocalyptic number.

14255946000 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 14255946000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26908277760).

14255946000 is an abundant number, since it is smaller than the sum of its proper divisors (39560609520).

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

14255946000 is a wasteful number, since it uses less digits than its factorization.

14255946000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 14255946000 in words is "fourteen billion, two hundred fifty-five million, nine hundred forty-six thousand".