254348864640 has 960 divisors, whose sum is σ = 1042735838760. Its totient is φ = 58530594816.

The previous prime is 254348864639. The next prime is 254348864641. The reversal of 254348864640 is 46468843452.

It is a happy number.

254348864640 is a `hidden beast` number, since 2 + 5 + 43 + 488 + 64 + 64 + 0 = 666.

254348864640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (254348864639) and next prime (254348864641).

It can be written as a sum of positive squares in 12 ways, for example, as 6607738944 + 247741125696 = 81288^2 + 497736^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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 (254348864641) 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 119 ways as a sum of consecutive naturals, for example, 1707039286 + ... + 1707039434.

Almost surely, 2^254348864640 is an apocalyptic number.

254348864640 is a gapful number since it is divisible by the number (20) 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 254348864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521367919380).

254348864640 is an abundant number, since it is smaller than the sum of its proper divisors (788386974120).

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

254348864640 is a wasteful number, since it uses less digits than its factorization.

254348864640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 54.

The spelling of 254348864640 in words is "two hundred fifty-four billion, three hundred forty-eight million, eight hundred sixty-four thousand, six hundred forty".