20144299968 has 224 divisors, whose sum is σ = 65835499520. Its totient is φ = 5998095360.

The previous prime is 20144299927. The next prime is 20144299979. The reversal of 20144299968 is 86999244102.

20144299968 is a `hidden beast` number, since 20 + 1 + 442 + 99 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 681921 + ... + 710847.

It is an arithmetic number, because the mean of its divisors is an integer number (293908480).

Almost surely, 2^20144299968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20144299968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32917749760).

20144299968 is an abundant number, since it is smaller than the sum of its proper divisors (45691199552).

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

20144299968 is a wasteful number, since it uses less digits than its factorization.

20144299968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28992 (or 28976 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 20144299968 in words is "twenty billion, one hundred forty-four million, two hundred ninety-nine thousand, nine hundred sixty-eight".