678374613225 has 63 divisors (see below), whose sum is σ = 1261406590549. Its totient is φ = 361740492000.

The previous prime is 678374613199. The next prime is 678374613251. The reversal of 678374613225 is 522316473876.

It is a happy number.

The square root of 678374613225 is 823635.

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

678374613225 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (678374613199) and next prime (678374613251).

It can be written as a sum of positive squares in 4 ways, for example, as 44475561 + 678330137664 = 6669^2 + 823608^2 .

It is not a de Polignac number, because 678374613225 - 2¹⁷ = 678374482153 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 111187675 + ... + 111193775.

Almost surely, 2^678374613225 is an apocalyptic number.

678374613225 is the 823635-th square number.

678374613225 is the 411818-th centered octagonal number.

It is an amenable number.

678374613225 is a deficient number, since it is larger than the sum of its proper divisors (583031977324).

678374613225 is an frugal number, since it uses more digits than its factorization.

678374613225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12230 (or 6109 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 678374613225 in words is "six hundred seventy-eight billion, three hundred seventy-four million, six hundred thirteen thousand, two hundred twenty-five".