248292608256 has 1152 divisors, whose sum is σ = 960712704000. Its totient is φ = 61378560000.

The previous prime is 248292608191. The next prime is 248292608261. The reversal of 248292608256 is 652806292842.

It is a happy number.

248292608256 is a `hidden beast` number, since 2 + 4 + 8 + 2 + 9 + 2 + 608 + 25 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1666393270 + ... + 1666393418.

It is an arithmetic number, because the mean of its divisors is an integer number (833952000).

Almost surely, 2^248292608256 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 248292608256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480356352000).

248292608256 is an abundant number, since it is smaller than the sum of its proper divisors (712420095744).

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

248292608256 is a wasteful number, since it uses less digits than its factorization.

248292608256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 248292608256 in words is "two hundred forty-eight billion, two hundred ninety-two million, six hundred eight thousand, two hundred fifty-six".