248703397272 has 320 divisors, whose sum is σ = 802615651200. Its totient is φ = 71157864960.

The previous prime is 248703397247. The next prime is 248703397273. The reversal of 248703397272 is 272793307842.

It is a happy number.

248703397272 is a `hidden beast` number, since 2 + 487 + 0 + 3 + 3 + 97 + 2 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248703397273) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42387283 + ... + 42393149.

It is an arithmetic number, because the mean of its divisors is an integer number (2508173910).

Almost surely, 2^248703397272 is an apocalyptic number.

248703397272 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 248703397272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401307825600).

248703397272 is an abundant number, since it is smaller than the sum of its proper divisors (553912253928).

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

248703397272 is a wasteful number, since it uses less digits than its factorization.

248703397272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6228 (or 6215 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 248703397272 in words is "two hundred forty-eight billion, seven hundred three million, three hundred ninety-seven thousand, two hundred seventy-two".