7146825580544 has 80 divisors (see below), whose sum is σ = 15393162788850. Its totient is φ = 3298534883328.

The previous prime is 7146825580523. The next prime is 7146825580547. The reversal of 7146825580544 is 4450855286417.

It can be written as a sum of positive squares in only one way, i.e., 6871947673600 + 274877906944 = 2621440^2 + 524288^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=13, B=8.

It is not an unprimeable number, because it can be changed into a prime (7146825580547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 549755813882 + ... + 549755813894.

Almost surely, 2^{7146825580544} 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 7146825580544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7696581394425).

7146825580544 is an abundant number, since it is smaller than the sum of its proper divisors (8246337208306).

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

7146825580544 is an frugal number, since it uses more digits than its factorization.

7146825580544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 15 counting only the distinct ones).

The product of its (nonzero) digits is 43008000, while the sum is 59.

The spelling of 7146825580544 in words is "seven trillion, one hundred forty-six billion, eight hundred twenty-five million, five hundred eighty thousand, five hundred forty-four".