7812147980484 has 135 divisors (see below), whose sum is σ = 21106753282461. Its totient is φ = 2519544631680.

The previous prime is 7812147980411. The next prime is 7812147980503. The reversal of 7812147980484 is 4840897412187.

The square root of 7812147980484 is 2795022.

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

7812147980484 is a `hidden beast` number, since 7 + 8 + 1 + 2 + 1 + 4 + 79 + 80 + 484 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3686699526084 + 4125448454400 = 1920078^2 + 2031120^2 .

It is a super-2 number, since 2×7812147980484² (a number of 27 digits) contains 22 as substring.

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 44 ways as a sum of consecutive naturals, for example, 1559619772 + ... + 1559624780.

Almost surely, 2^{7812147980484} is an apocalyptic number.

7812147980484 is the 2795022-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7812147980484

7812147980484 is an abundant number, since it is smaller than the sum of its proper divisors (13294605301977).

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

7812147980484 is an frugal number, since it uses more digits than its factorization.

7812147980484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10096 (or 5045 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 7812147980484 in words is "seven trillion, eight hundred twelve billion, one hundred forty-seven million, nine hundred eighty thousand, four hundred eighty-four".