248693274720 has 864 divisors, whose sum is σ = 997785262656. Its totient is φ = 56165007360.

The previous prime is 248693274671. The next prime is 248693274743. The reversal of 248693274720 is 27472396842.

248693274720 is a `hidden beast` number, since 2 + 4 + 86 + 93 + 2 + 7 + 472 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 334714669 + ... + 334715411.

It is an arithmetic number, because the mean of its divisors is an integer number (1154844054).

Almost surely, 2^248693274720 is an apocalyptic number.

248693274720 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 248693274720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498892631328).

248693274720 is an abundant number, since it is smaller than the sum of its proper divisors (749091987936).

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

248693274720 is a wasteful number, since it uses less digits than its factorization.

248693274720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

It can be divided in two parts, 2486932 and 74720, that added together give a palindrome (2561652).

The spelling of 248693274720 in words is "two hundred forty-eight billion, six hundred ninety-three million, two hundred seventy-four thousand, seven hundred twenty".