252663054336 has 1215 divisors, whose sum is σ = 991390848357. Its totient is φ = 61766369280.

The previous prime is 252663054283. The next prime is 252663054383. The reversal of 252663054336 is 633450366252.

The square root of 252663054336 is 502656.

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

252663054336 is a `hidden beast` number, since 2 + 5 + 2 + 6 + 6 + 305 + 4 + 336 = 666.

It can be written as a sum of positive squares in only one way, i.e., 196709990400 + 55953063936 = 443520^2 + 236544^2 .

It is a junction number, because it is equal to n+sod(n) for n = 252663054291 and 252663054300.

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, 14862532600 + ... + 14862532616.

Almost surely, 2^252663054336 is an apocalyptic number.

252663054336 is the 502656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252663054336

252663054336 is an abundant number, since it is smaller than the sum of its proper divisors (738727794021).

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

252663054336 is a wasteful number, since it uses less digits than its factorization.

252663054336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 45.

The spelling of 252663054336 in words is "two hundred fifty-two billion, six hundred sixty-three million, fifty-four thousand, three hundred thirty-six".