254233689872064 has 56 divisors (see below), whose sum is σ = 768754252712448. Its totient is φ = 72638197105920.

The previous prime is 254233689872059. The next prime is 254233689872069. The reversal of 254233689872064 is 460278986332452.

It is an interprime number because it is at equal distance from previous prime (254233689872059) and next prime (254233689872069).

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 254233689872064.

It is not an unprimeable number, because it can be changed into a prime (254233689872069) by changing a digit.

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, 94580984472 + ... + 94580987159.

Almost surely, 2^{254233689872064} is an apocalyptic number.

254233689872064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

254233689872064 is an abundant number, since it is smaller than the sum of its proper divisors (514520562840384).

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

254233689872064 is a wasteful number, since it uses less digits than its factorization.

254233689872064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189161971653 (or 189161971643 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 69.

The spelling of 254233689872064 in words is "two hundred fifty-four trillion, two hundred thirty-three billion, six hundred eighty-nine million, eight hundred seventy-two thousand, sixty-four".