248928496491024 has 675 divisors, whose sum is σ = 846112862168343. Its totient is φ = 70448792795136.

The previous prime is 248928496491011. The next prime is 248928496491053. The reversal of 248928496491024 is 420194694829842.

The square root of 248928496491024 is 15777468.

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

248928496491024 is a `hidden beast` number, since 2 + 4 + 8 + 9 + 28 + 4 + 96 + 491 + 0 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 56549377284624 + 192379119206400 = 7519932^2 + 13870080^2 .

It is a super-3 number, since 3×248928496491024³ (a number of 44 digits) contains 333 as substring.

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 134 ways as a sum of consecutive naturals, for example, 544701305004 + ... + 544701305460.

Almost surely, 2^{248928496491024} is an apocalyptic number.

248928496491024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

248928496491024 is the 15777468-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248928496491024

248928496491024 is an abundant number, since it is smaller than the sum of its proper divisors (597184365677319).

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

248928496491024 is an frugal number, since it uses more digits than its factorization.

248928496491024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 573308928, while the sum is 72.

The spelling of 248928496491024 in words is "two hundred forty-eight trillion, nine hundred twenty-eight billion, four hundred ninety-six million, four hundred ninety-one thousand, twenty-four".