254463749136 has 135 divisors (see below), whose sum is σ = 719971791903. Its totient is φ = 83899126080.

The previous prime is 254463749123. The next prime is 254463749179. The reversal of 254463749136 is 631947364452.

The square root of 254463749136 is 504444.

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

254463749136 is a `hidden beast` number, since 2 + 5 + 4 + 463 + 7 + 49 + 136 = 666.

254463749136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 768772491 + ... + 768772821.

Almost surely, 2^254463749136 is an apocalyptic number.

254463749136 is the 504444-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254463749136

254463749136 is an abundant number, since it is smaller than the sum of its proper divisors (465508042767).

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

254463749136 is an equidigital number, since it uses as much as digits as its factorization.

254463749136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 463 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 254463749136 in words is "two hundred fifty-four billion, four hundred sixty-three million, seven hundred forty-nine thousand, one hundred thirty-six".