254393857368 has 192 divisors, whose sum is σ = 791884641600. Its totient is φ = 72272010240.

The previous prime is 254393857357. The next prime is 254393857381. The reversal of 254393857368 is 863758393452.

It is a happy number.

254393857368 is a `hidden beast` number, since 2 + 54 + 3 + 9 + 3 + 8 + 573 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83106558 + ... + 83109618.

It is an arithmetic number, because the mean of its divisors is an integer number (4124399175).

Almost surely, 2^254393857368 is an apocalyptic number.

254393857368 is a gapful number since it is divisible by the number (28) 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 254393857368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395942320800).

254393857368 is an abundant number, since it is smaller than the sum of its proper divisors (537490784232).

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

254393857368 is a wasteful number, since it uses less digits than its factorization.

254393857368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3962 (or 3955 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 63.

The spelling of 254393857368 in words is "two hundred fifty-four billion, three hundred ninety-three million, eight hundred fifty-seven thousand, three hundred sixty-eight".