254542262245452 has 24 divisors (see below), whose sum is σ = 659924383599600. Its totient is φ = 84847420748448.

The previous prime is 254542262245361. The next prime is 254542262245463.

254542262245452 is a `hidden beast` number, since 2 + 5 + 4 + 5 + 4 + 2 + 2 + 622 + 4 + 5 + 4 + 5 + 2 = 666.

254542262245452 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1178436399177 + ... + 1178436399392.

It is an arithmetic number, because the mean of its divisors is an integer number (27496849316650).

Almost surely, 2^{254542262245452} is an apocalyptic number.

It is an amenable number.

254542262245452 is an abundant number, since it is smaller than the sum of its proper divisors (405382121354148).

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

254542262245452 is a wasteful number, since it uses less digits than its factorization.

254542262245452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356872798582 (or 2356872798574 counting only the distinct ones).

The product of its digits is 61440000, while the sum is 54.

The spelling of 254542262245452 in words is "two hundred fifty-four trillion, five hundred forty-two billion, two hundred sixty-two million, two hundred forty-five thousand, four hundred fifty-two".