254490065568 has 384 divisors, whose sum is σ = 768190832640. Its totient is φ = 81935400960.

The previous prime is 254490065561. The next prime is 254490065579. The reversal of 254490065568 is 865560094452.

254490065568 is a `hidden beast` number, since 2 + 544 + 90 + 0 + 6 + 5 + 5 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (254490065561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1291827646 + ... + 1291827842.

It is an arithmetic number, because the mean of its divisors is an integer number (2000496960).

Almost surely, 2^254490065568 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 254490065568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384095416320).

254490065568 is an abundant number, since it is smaller than the sum of its proper divisors (513700767072).

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

254490065568 is a wasteful number, since it uses less digits than its factorization.

254490065568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 254490065568 in words is "two hundred fifty-four billion, four hundred ninety million, sixty-five thousand, five hundred sixty-eight".