248346742336 has 189 divisors, whose sum is σ = 630905656017. Its totient is φ = 96638868480.

The previous prime is 248346742307. The next prime is 248346742387. The reversal of 248346742336 is 633247643842.

The square root of 248346742336 is 498344.

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

It can be written as a sum of positive squares in only one way, i.e., 218597391936 + 29749350400 = 467544^2 + 172480^2 .

It is a super-2 number, since 2×248346742336² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 306979500 + ... + 306980308.

Almost surely, 2^248346742336 is an apocalyptic number.

248346742336 is the 498344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248346742336

248346742336 is an abundant number, since it is smaller than the sum of its proper divisors (382558913681).

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

248346742336 is an frugal number, since it uses more digits than its factorization.

248346742336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 829 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 52.

The spelling of 248346742336 in words is "two hundred forty-eight billion, three hundred forty-six million, seven hundred forty-two thousand, three hundred thirty-six".