629618445225 has 405 divisors, whose sum is σ = 1497769990101. Its totient is φ = 260516995200.

The previous prime is 629618445187. The next prime is 629618445263. The reversal of 629618445225 is 522544816926.

The square root of 629618445225 is 793485.

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

629618445225 is a `hidden beast` number, since 6 + 2 + 9 + 6 + 184 + 452 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (629618445187) and next prime (629618445263).

It can be written as a sum of positive squares in 4 ways, for example, as 85930473321 + 543687971904 = 293139^2 + 737352^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 629618445225 - 2⁷ = 629618445097 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 2749425411 + ... + 2749425639.

Almost surely, 2^629618445225 is an apocalyptic number.

629618445225 is the 793485-th square number.

629618445225 is the 396743-rd centered octagonal number.

It is an amenable number.

629618445225 is an abundant number, since it is smaller than the sum of its proper divisors (868151544876).

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

629618445225 is a wasteful number, since it uses less digits than its factorization.

629618445225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 255 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 629618445225 in words is "six hundred twenty-nine billion, six hundred eighteen million, four hundred forty-five thousand, two hundred twenty-five".