248171375943936 has 405 divisors, whose sum is σ = 764859944356893. Its totient is φ = 80032597585920.

The previous prime is 248171375943923. The next prime is 248171375943943. The reversal of 248171375943936 is 639349573171842.

The square root of 248171375943936 is 15753456.

It is a perfect power (a square), and thus also a powerful number.

248171375943936 is a `hidden beast` number, since 2 + 4 + 8 + 1 + 7 + 137 + 59 + 439 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23200175022336 + 224971200921600 = 4816656^2 + 14999040^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 70323425820 + ... + 70323429348.

Almost surely, 2^{248171375943936} is an apocalyptic number.

248171375943936 is the 15753456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248171375943936

248171375943936 is an abundant number, since it is smaller than the sum of its proper divisors (516688568412957).

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

248171375943936 is an frugal number, since it uses more digits than its factorization.

248171375943936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7148 (or 3565 counting only the distinct ones).

The product of its digits is 823011840, while the sum is 72.

The spelling of 248171375943936 in words is "two hundred forty-eight trillion, one hundred seventy-one billion, three hundred seventy-five million, nine hundred forty-three thousand, nine hundred thirty-six".