314816377225 has 243 divisors, whose sum is σ = 516874770111. Its totient is φ = 189601843200.

The previous prime is 314816377201. The next prime is 314816377229. The reversal of 314816377225 is 522773618413.

The square root of 314816377225 is 561085.

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

It can be written as a sum of positive squares in 13 ways, for example, as 272612427129 + 42203950096 = 522123^2 + 205436^2 .

It is not a de Polignac number, because 314816377225 - 2¹⁵ = 314816344457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (314816377229) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 7678448205 + ... + 7678448245.

Almost surely, 2^314816377225 is an apocalyptic number.

314816377225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

314816377225 is the 561085-th square number.

314816377225 is the 280543-rd centered octagonal number.

It is an amenable number.

314816377225 is a deficient number, since it is larger than the sum of its proper divisors (202058392886).

314816377225 is a wasteful number, since it uses less digits than its factorization.

314816377225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 93 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 49.

Multiplying 314816377225 by its sum of digits (49), we get a square (15426002484025 = 3927595²).

314816377225 divided by its sum of digits (49) gives a square (6424824025 = 80155²).

The spelling of 314816377225 in words is "three hundred fourteen billion, eight hundred sixteen million, three hundred seventy-seven thousand, two hundred twenty-five".