254664681264 has 320 divisors, whose sum is σ = 867624468480. Its totient is φ = 70006083840.

The previous prime is 254664681253. The next prime is 254664681277. The reversal of 254664681264 is 462186466452.

254664681264 is a `hidden beast` number, since 2 + 5 + 466 + 46 + 81 + 2 + 64 = 666.

254664681264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 254664681264.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 8697529 + ... + 8726759.

It is an arithmetic number, because the mean of its divisors is an integer number (2711326464).

Almost surely, 2^254664681264 is an apocalyptic number.

254664681264 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 254664681264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433812234240).

254664681264 is an abundant number, since it is smaller than the sum of its proper divisors (612959787216).

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

254664681264 is a wasteful number, since it uses less digits than its factorization.

254664681264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29365 (or 29353 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 254664681264 in words is "two hundred fifty-four billion, six hundred sixty-four million, six hundred eighty-one thousand, two hundred sixty-four".