254814012552 has 256 divisors, whose sum is σ = 733133721600. Its totient is φ = 73092884480.

The previous prime is 254814012533. The next prime is 254814012559. The reversal of 254814012552 is 255210418452.

It is a self number, because there is not a number n which added to its sum of digits gives 254814012552.

It is not an unprimeable number, because it can be changed into a prime (254814012559) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87054913 + ... + 87057839.

It is an arithmetic number, because the mean of its divisors is an integer number (2863803600).

Almost surely, 2^254814012552 is an apocalyptic number.

254814012552 is a gapful number since it is divisible by the number (22) 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 254814012552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366566860800).

254814012552 is an abundant number, since it is smaller than the sum of its proper divisors (478319709048).

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

254814012552 is a wasteful number, since it uses less digits than its factorization.

254814012552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3196 (or 3192 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 39.

The spelling of 254814012552 in words is "two hundred fifty-four billion, eight hundred fourteen million, twelve thousand, five hundred fifty-two".