254136914064 has 240 divisors, whose sum is σ = 819180098880. Its totient is φ = 72738570240.

The previous prime is 254136914041. The next prime is 254136914069. The reversal of 254136914064 is 460419631452.

254136914064 is a `hidden beast` number, since 2 + 541 + 3 + 6 + 9 + 1 + 40 + 64 = 666.

254136914064 is digitally balanced in base 2, because in such base 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 (254136914069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10129824 + ... + 10154880.

It is an arithmetic number, because the mean of its divisors is an integer number (3413250412).

Almost surely, 2^254136914064 is an apocalyptic number.

254136914064 is a gapful number since it is divisible by the number (24) 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 254136914064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409590049440).

254136914064 is an abundant number, since it is smaller than the sum of its proper divisors (565043184816).

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

254136914064 is a wasteful number, since it uses less digits than its factorization.

254136914064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25438 (or 25429 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 254136914064 in words is "two hundred fifty-four billion, one hundred thirty-six million, nine hundred fourteen thousand, sixty-four".