202143756816 has 315 divisors, whose sum is σ = 617262840957. Its totient is φ = 64095546240.

The previous prime is 202143756707. The next prime is 202143756821. The reversal of 202143756816 is 618657341202.

The square root of 202143756816 is 449604.

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

202143756816 is a `hidden beast` number, since 2 + 0 + 214 + 375 + 68 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2227462416 + 199916294400 = 47196^2 + 447120^2 .

It is a super-2 number, since 2×202143756816² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1116816246 + ... + 1116816426.

Almost surely, 2^202143756816 is an apocalyptic number.

202143756816 is the 449604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202143756816

202143756816 is an abundant number, since it is smaller than the sum of its proper divisors (415119084141).

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

202143756816 is an frugal number, since it uses more digits than its factorization.

202143756816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 202143756816 in words is "two hundred two billion, one hundred forty-three million, seven hundred fifty-six thousand, eight hundred sixteen".