7235282263104 has 567 divisors, whose sum is σ = 25093438724757. Its totient is φ = 2063737460736.

The previous prime is 7235282263067. The next prime is 7235282263163. The reversal of 7235282263104 is 4013622825327.

The square root of 7235282263104 is 2689848.

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

7235282263104 is a `hidden beast` number, since 7 + 2 + 3 + 5 + 2 + 8 + 2 + 2 + 631 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4448893377600 + 2786388885504 = 2109240^2 + 1669248^2 .

It is a tau number, because it is divible by the number of its divisors (567).

It is a self number, because there is not a number n which added to its sum of digits gives 7235282263104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12201150232 + ... + 12201150824.

Almost surely, 2^{7235282263104} is an apocalyptic number.

7235282263104 is the 2689848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7235282263104

7235282263104 is an abundant number, since it is smaller than the sum of its proper divisors (17858156461653).

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

7235282263104 is an frugal number, since it uses more digits than its factorization.

7235282263104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 7235282263104 in words is "seven trillion, two hundred thirty-five billion, two hundred eighty-two million, two hundred sixty-three thousand, one hundred four".