248095620864 has 1728 divisors, whose sum is σ = 999957504000. Its totient is φ = 58525286400.

The previous prime is 248095620827. The next prime is 248095620893. The reversal of 248095620864 is 468026590842.

248095620864 is a `hidden beast` number, since 2 + 4 + 8 + 0 + 9 + 5 + 620 + 8 + 6 + 4 = 666.

248095620864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 248095620864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6051112684 + ... + 6051112724.

Almost surely, 2^248095620864 is an apocalyptic number.

248095620864 is a gapful number since it is divisible by the number (24) 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 248095620864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499978752000).

248095620864 is an abundant number, since it is smaller than the sum of its proper divisors (751861883136).

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

248095620864 is a wasteful number, since it uses less digits than its factorization.

248095620864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 116 counting only the distinct ones).

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

The spelling of 248095620864 in words is "two hundred forty-eight billion, ninety-five million, six hundred twenty thousand, eight hundred sixty-four".