7482610110096 has 1215 divisors, whose sum is σ = 26052028338427. Its totient is φ = 2002776821760.

The previous prime is 7482610109957. The next prime is 7482610110103. The reversal of 7482610110096 is 6900110162847.

The square root of 7482610110096 is 2735436.

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

7482610110096 is a `hidden beast` number, since 7 + 482 + 61 + 0 + 1 + 100 + 9 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1874807223696 + 5607802886400 = 1369236^2 + 2368080^2 .

It is a super-2 number, since 2×7482610110096² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 141181322806 + ... + 141181322858.

Almost surely, 2^{7482610110096} is an apocalyptic number.

7482610110096 is the 2735436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7482610110096

7482610110096 is an abundant number, since it is smaller than the sum of its proper divisors (18569418228331).

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

7482610110096 is a wasteful number, since it uses less digits than its factorization.

7482610110096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 7482610110096 in words is "seven trillion, four hundred eighty-two billion, six hundred ten million, one hundred ten thousand, ninety-six".