16766365225 has 81 divisors (see below), whose sum is σ = 23218618917. Its totient is φ = 12007920960.

The previous prime is 16766365211. The next prime is 16766365229. The reversal of 16766365225 is 52256366761.

The square root of 16766365225 is 129485.

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 230462761 + 16535902464 = 15181^2 + 128592^2 .

It is a de Polignac number, because none of the positive numbers 2^k-16766365225 is a prime.

It is a super-2 number, since 2×16766365225² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (2721600) is a multiple of the sum of its prime divisors (100).

It is not an unprimeable number, because it can be changed into a prime (16766365229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 356731152 + ... + 356731198.

Almost surely, 2^16766365225 is an apocalyptic number.

16766365225 is the 129485-th square number.

16766365225 is the 64743-rd centered octagonal number.

It is an amenable number.

16766365225 is a deficient number, since it is larger than the sum of its proper divisors (6452253692).

16766365225 is an equidigital number, since it uses as much as digits as its factorization.

16766365225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 100 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 49.

Multiplying 16766365225 by its sum of digits (49), we get a square (821551896025 = 906395²).

It can be divided in two parts, 1676636 and 5225, that added together give a palindrome (1681861).

The spelling of 16766365225 in words is "sixteen billion, seven hundred sixty-six million, three hundred sixty-five thousand, two hundred twenty-five".