202807916964 has 135 divisors (see below), whose sum is σ = 537113868753. Its totient is φ = 66729876192.

The previous prime is 202807916953. The next prime is 202807917019. The reversal of 202807916964 is 469619708202.

The square root of 202807916964 is 450342.

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

202807916964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 198710892900 + 4097024064 = 445770^2 + 64008^2 .

It is a super-2 number, since 2×202807916964² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 202807916964.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1029481714 + ... + 1029481910.

Almost surely, 2^202807916964 is an apocalyptic number.

202807916964 is the 450342-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202807916964

202807916964 is an abundant number, since it is smaller than the sum of its proper divisors (334305951789).

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

202807916964 is an equidigital number, since it uses as much as digits as its factorization.

202807916964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 202807916964 in words is "two hundred two billion, eight hundred seven million, nine hundred sixteen thousand, nine hundred sixty-four".