254989047161376 has 288 divisors, whose sum is σ = 795635731537920. Its totient is φ = 76821226329600.

The previous prime is 254989047161339. The next prime is 254989047161383. The reversal of 254989047161376 is 673161740989452.

254989047161376 is a `hidden beast` number, since 2 + 5 + 4 + 9 + 8 + 90 + 4 + 7 + 161 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 47 ways as a sum of consecutive naturals, for example, 2780308161 + ... + 2780399871.

It is an arithmetic number, because the mean of its divisors is an integer number (2762624067840).

It is a 1-persistent number, because it is pandigital, but 2⋅254989047161376 = 509978094322752 is not.

Almost surely, 2^{254989047161376} 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 254989047161376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397817865768960).

254989047161376 is an abundant number, since it is smaller than the sum of its proper divisors (540646684376544).

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

254989047161376 is a wasteful number, since it uses less digits than its factorization.

254989047161376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96820 (or 96809 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 254989047161376 in words is "two hundred fifty-four trillion, nine hundred eighty-nine billion, forty-seven million, one hundred sixty-one thousand, three hundred seventy-six".