7248916117248 has 288 divisors, whose sum is σ = 21295652673792. Its totient is φ = 2174791680000.

The previous prime is 7248916117237. The next prime is 7248916117291. The reversal of 7248916117248 is 8427116198427.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 7248916117191 and 7248916117200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 921429411 + ... + 921437277.

Almost surely, 2^{7248916117248} is an apocalyptic number.

7248916117248 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7248916117248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10647826336896).

7248916117248 is an abundant number, since it is smaller than the sum of its proper divisors (14046736556544).

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

7248916117248 is a wasteful number, since it uses less digits than its factorization.

7248916117248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10191 (or 10177 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 60.

The spelling of 7248916117248 in words is "seven trillion, two hundred forty-eight billion, nine hundred sixteen million, one hundred seventeen thousand, two hundred forty-eight".