1248243093504 has 585 divisors, whose sum is σ = 4143318804079. Its totient is φ = 361809592320.

The previous prime is 1248243093469. The next prime is 1248243093509. The reversal of 1248243093504 is 4053903428421.

The square root of 1248243093504 is 1117248.

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

1248243093504 is a `hidden beast` number, since 1 + 2 + 4 + 8 + 24 + 30 + 93 + 504 = 666.

It is a super-2 number, since 2×1248243093504² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1248243093504.

It is not an unprimeable number, because it can be changed into a prime (1248243093509) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 54271438837 + ... + 54271438859.

Almost surely, 2^{1248243093504} is an apocalyptic number.

1248243093504 is the 1117248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1248243093504

1248243093504 is an abundant number, since it is smaller than the sum of its proper divisors (2895075710575).

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

1248243093504 is an frugal number, since it uses more digits than its factorization.

1248243093504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 1248243093504 in words is "one trillion, two hundred forty-eight billion, two hundred forty-three million, ninety-three thousand, five hundred four".