254586431616 has 768 divisors, whose sum is σ = 837349954560. Its totient is φ = 68124672000.

The previous prime is 254586431611. The next prime is 254586431621. The reversal of 254586431616 is 616134685452.

It is an interprime number because it is at equal distance from previous prime (254586431611) and next prime (254586431621).

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (4147200) is a multiple of the sum of its prime factors (405).

It is not an unprimeable number, because it can be changed into a prime (254586431611) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 906001396 + ... + 906001676.

It is an arithmetic number, because the mean of its divisors is an integer number (1090299420).

Almost surely, 2^254586431616 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 254586431616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418674977280).

254586431616 is an abundant number, since it is smaller than the sum of its proper divisors (582763522944).

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

254586431616 is a wasteful number, since it uses less digits than its factorization.

254586431616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 382 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 51.

The spelling of 254586431616 in words is "two hundred fifty-four billion, five hundred eighty-six million, four hundred thirty-one thousand, six hundred sixteen".