248939504352 has 1296 divisors, whose sum is σ = 990605790720. Its totient is φ = 58563993600.

The previous prime is 248939504351. The next prime is 248939504419. The reversal of 248939504352 is 253405939842.

248939504352 is a `hidden beast` number, since 2 + 4 + 89 + 3 + 9 + 504 + 3 + 52 = 666.

It is a super-3 number, since 3×248939504352³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248939504351) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1390723399 + ... + 1390723577.

It is an arithmetic number, because the mean of its divisors is an integer number (764356320).

Almost surely, 2^248939504352 is an apocalyptic number.

248939504352 is a gapful number since it is divisible by the number (22) 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 248939504352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495302895360).

248939504352 is an abundant number, since it is smaller than the sum of its proper divisors (741666286368).

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

248939504352 is a wasteful number, since it uses less digits than its factorization.

248939504352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 248939504352 in words is "two hundred forty-eight billion, nine hundred thirty-nine million, five hundred four thousand, three hundred fifty-two".