201114344000 has 112 divisors (see below), whose sum is σ = 501864270336. Its totient is φ = 79831232000.

The previous prime is 201114343979. The next prime is 201114344021. The reversal of 201114344000 is 443411102.

It is an interprime number because it is at equal distance from previous prime (201114343979) and next prime (201114344021).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 952049 + ... + 1143951.

Almost surely, 2^201114344000 is an apocalyptic number.

201114344000 is a gapful number since it is divisible by the number (20) 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 201114344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250932135168).

201114344000 is an abundant number, since it is smaller than the sum of its proper divisors (300749926336).

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

201114344000 is a wasteful number, since it uses less digits than its factorization.

201114344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192061 (or 192041 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 201114344000 its reverse (443411102), we get a palindrome (201557755102).

The spelling of 201114344000 in words is "two hundred one billion, one hundred fourteen million, three hundred forty-four thousand".