20232147936256 has 297 divisors, whose sum is σ = 43381087664187. Its totient is φ = 9430720266240.

The previous prime is 20232147936251. The next prime is 20232147936263. The reversal of 20232147936256 is 65263974123202.

The square root of 20232147936256 is 4498016.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4305791001600 + 15926356934656 = 2075040^2 + 3990784^2 .

It is a super-2 number, since 2×20232147936256² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20232147936251) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 154443877311 + ... + 154443877441.

Almost surely, 2^{20232147936256} is an apocalyptic number.

20232147936256 is the 4498016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20232147936256

20232147936256 is an abundant number, since it is smaller than the sum of its proper divisors (23148939727931).

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

20232147936256 is an frugal number, since it uses more digits than its factorization.

20232147936256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 52.

The spelling of 20232147936256 in words is "twenty trillion, two hundred thirty-two billion, one hundred forty-seven million, nine hundred thirty-six thousand, two hundred fifty-six".