254913360768 has 512 divisors, whose sum is σ = 874807488000. Its totient is φ = 73164072960.

The previous prime is 254913360649. The next prime is 254913360773. The reversal of 254913360768 is 867063319452.

254913360768 is a `hidden beast` number, since 2 + 5 + 491 + 33 + 60 + 7 + 68 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58504446 + ... + 58508802.

It is an arithmetic number, because the mean of its divisors is an integer number (1708608375).

It is a 1-persistent number, because it is pandigital, but 2⋅254913360768 = 509826721536 is not.

Almost surely, 2^254913360768 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 254913360768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437403744000).

254913360768 is an abundant number, since it is smaller than the sum of its proper divisors (619894127232).

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

254913360768 is an equidigital number, since it uses as much as digits as its factorization.

254913360768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4422 (or 4392 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 254913360768 in words is "two hundred fifty-four billion, nine hundred thirteen million, three hundred sixty thousand, seven hundred sixty-eight".