254887547616 has 144 divisors (see below), whose sum is σ = 784295038800. Its totient is φ = 78055004160.

The previous prime is 254887547611. The next prime is 254887547623. The reversal of 254887547616 is 616745788452.

254887547616 is a `hidden beast` number, since 2 + 5 + 4 + 8 + 8 + 7 + 5 + 4 + 7 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254887547611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 628660 + ... + 951308.

It is an arithmetic number, because the mean of its divisors is an integer number (5446493325).

Almost surely, 2^254887547616 is an apocalyptic number.

254887547616 is a gapful number since it is divisible by the number (26) 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 254887547616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392147519400).

254887547616 is an abundant number, since it is smaller than the sum of its proper divisors (529407491184).

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

254887547616 is a wasteful number, since it uses less digits than its factorization.

254887547616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322889 (or 322878 counting only the distinct ones).

The product of its digits is 90316800, while the sum is 63.

The spelling of 254887547616 in words is "two hundred fifty-four billion, eight hundred eighty-seven million, five hundred forty-seven thousand, six hundred sixteen".