20739456144 has 135 divisors (see below), whose sum is σ = 63856401427. Its totient is φ = 6278923200.

The previous prime is 20739456131. The next prime is 20739456173. The reversal of 20739456144 is 44165493702.

The square root of 20739456144 is 144012.

It is a perfect power (a square), and thus also a powerful number.

20739456144 is a `hidden beast` number, since 20 + 7 + 3 + 9 + 4 + 5 + 614 + 4 = 666.

It is a super-2 number, since 2×20739456144² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20739456144.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19009039 + ... + 19010129.

Almost surely, 2^20739456144 is an apocalyptic number.

20739456144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

20739456144 is the 144012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20739456144

20739456144 is an abundant number, since it is smaller than the sum of its proper divisors (43116945283).

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

20739456144 is a wasteful number, since it uses less digits than its factorization.

20739456144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 20739456144 in words is "twenty billion, seven hundred thirty-nine million, four hundred fifty-six thousand, one hundred forty-four".