16023762225 has 135 divisors (see below), whose sum is σ = 31060519347. Its totient is φ = 8166251520.

The previous prime is 16023762203. The next prime is 16023762239. The reversal of 16023762225 is 52226732061.

The square root of 16023762225 is 126585.

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

16023762225 is a `hidden beast` number, since 1 + 6 + 0 + 2 + 3 + 7 + 622 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 10662008049 + 5361754176 = 103257^2 + 73224^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 16023762225 - 2⁵ = 16023762193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 16023762225.

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 134 ways as a sum of consecutive naturals, for example, 165193377 + ... + 165193473.

Almost surely, 2^16023762225 is an apocalyptic number.

16023762225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

16023762225 is the 126585-th square number.

16023762225 is the 63293-rd centered octagonal number.

It is an amenable number.

16023762225 is a deficient number, since it is larger than the sum of its proper divisors (15036757122).

16023762225 is an frugal number, since it uses more digits than its factorization.

16023762225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Multiplying 16023762225 by its sum of digits (36), we get a square (576855440100 = 759510²).

The spelling of 16023762225 in words is "sixteen billion, twenty-three million, seven hundred sixty-two thousand, two hundred twenty-five".