254456020512 has 120 divisors (see below), whose sum is σ = 749337271452. Its totient is φ = 84706560000.

The previous prime is 254456020499. The next prime is 254456020529. The reversal of 254456020512 is 215020654452.

254456020512 is a `hidden beast` number, since 2 + 5 + 4 + 45 + 602 + 0 + 5 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 212038146576 + 42417873936 = 460476^2 + 205956^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1908012 + ... + 2037012.

Almost surely, 2^254456020512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254456020512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374668635726).

254456020512 is an abundant number, since it is smaller than the sum of its proper divisors (494881250940).

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

254456020512 is a wasteful number, since it uses less digits than its factorization.

254456020512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129784 (or 129767 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 254456020512 its reverse (215020654452), we get a palindrome (469476674964).

The spelling of 254456020512 in words is "two hundred fifty-four billion, four hundred fifty-six million, twenty thousand, five hundred twelve".