248691348360 has 1920 divisors, whose sum is σ = 1134595123200. Its totient is φ = 48570762240.

The previous prime is 248691348319. The next prime is 248691348397. The reversal of 248691348360 is 63843196842.

248691348360 is a `hidden beast` number, since 2 + 48 + 69 + 1 + 3 + 483 + 60 = 666.

248691348360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×248691348360² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 248691348297 and 248691348306.

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 479 ways as a sum of consecutive naturals, for example, 8022301545 + ... + 8022301575.

It is an arithmetic number, because the mean of its divisors is an integer number (590934960).

Almost surely, 2^248691348360 is an apocalyptic number.

248691348360 is a gapful number since it is divisible by the number (20) 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 248691348360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567297561600).

248691348360 is an abundant number, since it is smaller than the sum of its proper divisors (885903774840).

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

248691348360 is a wasteful number, since it uses less digits than its factorization.

248691348360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 248691348360 in words is "two hundred forty-eight billion, six hundred ninety-one million, three hundred forty-eight thousand, three hundred sixty".