20144114000 has 40 divisors (see below), whose sum is σ = 48708472488. Its totient is φ = 8057644800.

The previous prime is 20144113993. The next prime is 20144114047. The reversal of 20144114000 is 41144102.

It can be written as a sum of positive squares in 4 ways, for example, as 68624656 + 20075489344 = 8284^2 + 141688^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 20144114000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5034029 + ... + 5038028.

Almost surely, 2^20144114000 is an apocalyptic number.

20144114000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20144114000 is an abundant number, since it is smaller than the sum of its proper divisors (28564358488).

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

20144114000 is a wasteful number, since it uses less digits than its factorization.

20144114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10072080 (or 10072064 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 20144114000 its reverse (41144102), we get a palindrome (20185258102).

The spelling of 20144114000 in words is "twenty billion, one hundred forty-four million, one hundred fourteen thousand".