20244736512 has 1440 divisors, whose sum is σ = 86860065600. Its totient is φ = 4598415360.

The previous prime is 20244736511. The next prime is 20244736559. The reversal of 20244736512 is 21563744202.

20244736512 is a `hidden beast` number, since 202 + 447 + 3 + 6 + 5 + 1 + 2 = 666.

It is a super-2 number, since 2×20244736512² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20244736511) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1065512439 + ... + 1065512457.

It is an arithmetic number, because the mean of its divisors is an integer number (60319490).

Almost surely, 2^20244736512 is an apocalyptic number.

20244736512 is a gapful number since it is divisible by the number (22) 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 20244736512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43430032800).

20244736512 is an abundant number, since it is smaller than the sum of its proper divisors (66615329088).

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

20244736512 is a wasteful number, since it uses less digits than its factorization.

20244736512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 20244736512 in words is "twenty billion, two hundred forty-four million, seven hundred thirty-six thousand, five hundred twelve".