254423930992128 has 960 divisors, whose sum is σ = 842538539082240. Its totient is φ = 76287973588992.

The previous prime is 254423930992117. The next prime is 254423930992201. The reversal of 254423930992128 is 821299039324452.

254423930992128 is a `hidden beast` number, since 2 + 5 + 4 + 4 + 239 + 309 + 92 + 1 + 2 + 8 = 666.

It is a super-2 number, since 2×254423930992128² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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, 7448644426 + ... + 7448678582.

It is an arithmetic number, because the mean of its divisors is an integer number (877644311544).

Almost surely, 2^{254423930992128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254423930992128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421269269541120).

254423930992128 is an abundant number, since it is smaller than the sum of its proper divisors (588114608090112).

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

254423930992128 is a wasteful number, since it uses less digits than its factorization.

254423930992128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34369 (or 34341 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 254423930992128 in words is "two hundred fifty-four trillion, four hundred twenty-three billion, nine hundred thirty million, nine hundred ninety-two thousand, one hundred twenty-eight".