14119056000 has 1536 divisors, whose sum is σ = 65302848000. Its totient is φ = 2980454400.

The previous prime is 14119055957. The next prime is 14119056013. The reversal of 14119056000 is 65091141.

14119056000 is a `hidden beast` number, since 1 + 4 + 11 + 90 + 560 + 0 + 0 = 666.

It is a super-2 number, since 2×14119056000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 486863986 + ... + 486864014.

It is an arithmetic number, because the mean of its divisors is an integer number (42514875).

Almost surely, 2^14119056000 is an apocalyptic number.

14119056000 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 14119056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32651424000).

14119056000 is an abundant number, since it is smaller than the sum of its proper divisors (51183792000).

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

14119056000 is a wasteful number, since it uses less digits than its factorization.

14119056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 14119056000 in words is "fourteen billion, one hundred nineteen million, fifty-six thousand".