254960364096 has 105 divisors (see below), whose sum is σ = 755890175161. Its totient is φ = 84974669568.

The previous prime is 254960364023. The next prime is 254960364121. The reversal of 254960364096 is 690463069452.

The square root of 254960364096 is 504936.

It is a perfect power (a square), and thus also a powerful number.

254960364096 is a `hidden beast` number, since 2 + 5 + 496 + 0 + 3 + 64 + 0 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 214665422400 + 40294941696 = 463320^2 + 200736^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 36351886 + ... + 36358898.

Almost surely, 2^254960364096 is an apocalyptic number.

254960364096 is the 504936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254960364096

254960364096 is an abundant number, since it is smaller than the sum of its proper divisors (500929811065).

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

254960364096 is an frugal number, since it uses more digits than its factorization.

254960364096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14050 (or 7018 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 254960364096 in words is "two hundred fifty-four billion, nine hundred sixty million, three hundred sixty-four thousand, ninety-six".