16714611225 has 225 divisors, whose sum is σ = 35630325137. Its totient is φ = 7744688640.

The previous prime is 16714611149. The next prime is 16714611233. The reversal of 16714611225 is 52211641761.

The square root of 16714611225 is 129285.

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

16714611225 is a `hidden beast` number, since 1 + 6 + 7 + 14 + 611 + 2 + 25 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 10950157449 + 5764453776 = 104643^2 + 75924^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 16714611225 - 2²⁵ = 16681056793 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 16714611225.

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 983212417 + ... + 983212433.

Almost surely, 2^16714611225 is an apocalyptic number.

16714611225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

16714611225 is the 129285-th square number.

16714611225 is the 64643-rd centered octagonal number.

It is an amenable number.

16714611225 is an abundant number, since it is smaller than the sum of its proper divisors (18915713912).

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

16714611225 is an frugal number, since it uses more digits than its factorization.

16714611225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 38 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

Multiplying 16714611225 by its sum of digits (36), we get a square (601726004100 = 775710²).

The spelling of 16714611225 in words is "sixteen billion, seven hundred fourteen million, six hundred eleven thousand, two hundred twenty-five".