14111955000 has 1280 divisors, whose sum is σ = 62350041600. Its totient is φ = 2903040000.

The previous prime is 14111954977. The next prime is 14111955001. The reversal of 14111955000 is 55911141.

14111955000 is a `hidden beast` number, since 1 + 41 + 119 + 5 + 500 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14111955001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 328184979 + ... + 328185021.

It is an arithmetic number, because the mean of its divisors is an integer number (48710970).

Almost surely, 2^14111955000 is an apocalyptic number.

14111955000 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 14111955000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31175020800).

14111955000 is an abundant number, since it is smaller than the sum of its proper divisors (48238086600).

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

14111955000 is a wasteful number, since it uses less digits than its factorization.

14111955000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 14111955000 in words is "fourteen billion, one hundred eleven million, nine hundred fifty-five thousand".