254678043312 has 480 divisors, whose sum is σ = 936063897600. Its totient is φ = 64012032000.

The previous prime is 254678043271. The next prime is 254678043349. The reversal of 254678043312 is 213340876452.

254678043312 is a `hidden beast` number, since 2 + 546 + 78 + 0 + 4 + 3 + 31 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16835112 + ... + 16850232.

It is an arithmetic number, because the mean of its divisors is an integer number (1950133120).

Almost surely, 2^254678043312 is an apocalyptic number.

254678043312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254678043312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468031948800).

254678043312 is an abundant number, since it is smaller than the sum of its proper divisors (681385854288).

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

254678043312 is a wasteful number, since it uses less digits than its factorization.

254678043312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15198 (or 15175 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 254678043312 in words is "two hundred fifty-four billion, six hundred seventy-eight million, forty-three thousand, three hundred twelve".