254005667916 has 1152 divisors, whose sum is σ = 908117360640. Its totient is φ = 53493073920.

The previous prime is 254005667899. The next prime is 254005667921. The reversal of 254005667916 is 619766500452.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3060309211 + ... + 3060309293.

It is an arithmetic number, because the mean of its divisors is an integer number (788296320).

Almost surely, 2^254005667916 is an apocalyptic number.

254005667916 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 254005667916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454058680320).

254005667916 is an abundant number, since it is smaller than the sum of its proper divisors (654111692724).

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

254005667916 is a wasteful number, since it uses less digits than its factorization.

254005667916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 254005667916 in words is "two hundred fifty-four billion, five million, six hundred sixty-seven thousand, nine hundred sixteen".