225148352004 has 243 divisors, whose sum is σ = 618185944831. Its totient is φ = 71744097600.

The previous prime is 225148351969. The next prime is 225148352027. The reversal of 225148352004 is 400253841522.

The square root of 225148352004 is 474498.

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

225148352004 is a `hidden beast` number, since 2 + 2 + 51 + 4 + 83 + 520 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 73982912004 + 151165440000 = 271998^2 + 388800^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 225148352004.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2229191554 + ... + 2229191654.

Almost surely, 2^225148352004 is an apocalyptic number.

225148352004 is the 474498-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225148352004

225148352004 is an abundant number, since it is smaller than the sum of its proper divisors (393037592827).

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

225148352004 is an frugal number, since it uses more digits than its factorization.

225148352004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Multiplying 225148352004 by its sum of digits (36), we get a square (8105340672144 = 2846988²).

225148352004 divided by its sum of digits (36) gives a square (6254120889 = 79083²).

The spelling of 225148352004 in words is "two hundred twenty-five billion, one hundred forty-eight million, three hundred fifty-two thousand, four".