7974248845248 has 840 divisors, whose sum is σ = 28767632533200. Its totient is φ = 2174897184768.

The previous prime is 7974248845229. The next prime is 7974248845249. The reversal of 7974248845248 is 8425488424797.

7974248845248 is a `hidden beast` number, since 7 + 9 + 74 + 24 + 8 + 8 + 4 + 524 + 8 = 666.

It is a super-2 number, since 2×7974248845248² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7974248845249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 655609215 + ... + 655621377.

Almost surely, 2^{7974248845248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7974248845248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14383816266600).

7974248845248 is an abundant number, since it is smaller than the sum of its proper divisors (20793383687952).

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

7974248845248 is a wasteful number, since it uses less digits than its factorization.

7974248845248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12319 (or 12293 counting only the distinct ones).

The product of its digits is 1156055040, while the sum is 72.

The spelling of 7974248845248 in words is "seven trillion, nine hundred seventy-four billion, two hundred forty-eight million, eight hundred forty-five thousand, two hundred forty-eight".