254391361526016 has 1728 divisors, whose sum is σ = 926045216538624. Its totient is φ = 66605110640640.

The previous prime is 254391361525999. The next prime is 254391361526017. The reversal of 254391361526016 is 610625163193452.

254391361526016 is a `hidden beast` number, since 2 + 5 + 4 + 3 + 9 + 1 + 3 + 615 + 2 + 6 + 0 + 16 = 666.

254391361526016 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (254391361526017) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43095264121 + ... + 43095270023.

It is an arithmetic number, because the mean of its divisors is an integer number (535905796608).

Almost surely, 2^{254391361526016} is an apocalyptic number.

254391361526016 is a gapful number since it is divisible by the number (26) 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 254391361526016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463022608269312).

254391361526016 is an abundant number, since it is smaller than the sum of its proper divisors (671653855012608).

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

254391361526016 is a wasteful number, since it uses less digits than its factorization.

254391361526016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6041 (or 6002 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 254391361526016 in words is "two hundred fifty-four trillion, three hundred ninety-one billion, three hundred sixty-one million, five hundred twenty-six thousand, sixteen".