20114314000 has 120 divisors (see below), whose sum is σ = 53460500184. Its totient is φ = 7314208000.

The previous prime is 20114313983. The next prime is 20114314013. The reversal of 20114314000 is 41341102.

It can be written as a sum of positive squares in 4 ways, for example, as 4455295504 + 15659018496 = 66748^2 + 125136^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200442 + ... + 283558.

Almost surely, 2^20114314000 is an apocalyptic number.

20114314000 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 20114314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26730250092).

20114314000 is an abundant number, since it is smaller than the sum of its proper divisors (33346186184).

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

20114314000 is a wasteful number, since it uses less digits than its factorization.

20114314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83162 (or 83135 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20114314000 its reverse (41341102), we get a palindrome (20155655102).

The spelling of 20114314000 in words is "twenty billion, one hundred fourteen million, three hundred fourteen thousand".