248454316656 has 320 divisors, whose sum is σ = 906048675840. Its totient is φ = 63412346880.

The previous prime is 248454316603. The next prime is 248454316711. The reversal of 248454316656 is 656613454842.

248454316656 is a `hidden beast` number, since 2 + 4 + 84 + 543 + 16 + 6 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1116736 + ... + 1320608.

It is an arithmetic number, because the mean of its divisors is an integer number (2831402112).

Almost surely, 2^248454316656 is an apocalyptic number.

248454316656 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 248454316656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453024337920).

248454316656 is an abundant number, since it is smaller than the sum of its proper divisors (657594359184).

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

248454316656 is a wasteful number, since it uses less digits than its factorization.

248454316656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203941 (or 203929 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 248454316656 in words is "two hundred forty-eight billion, four hundred fifty-four million, three hundred sixteen thousand, six hundred fifty-six".