4515076766641 has 9 divisors (see below), whose sum is σ = 5252249459691. Its totient is φ = 3870053050752.

The previous prime is 4515076766639. The next prime is 4515076766647. The reversal of 4515076766641 is 1466676705154.

It is a happy number.

The square root of 4515076766641 is 2124871.

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

It can be written as a sum of positive squares in only one way, i.e., 4323841978225 + 191234788416 = 2079385^2 + 437304^2 .

It is not a de Polignac number, because 4515076766641 - 2¹ = 4515076766639 is a prime.

It is a super-2 number, since 2×4515076766641² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4515076766647) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14722321 + ... + 15025873.

It is an arithmetic number, because the mean of its divisors is an integer number (583583273299).

Almost surely, 2^{4515076766641} is an apocalyptic number.

4515076766641 is the 2124871-st square number.

4515076766641 is the 1062436-th centered octagonal number.

It is an amenable number.

4515076766641 is a deficient number, since it is larger than the sum of its proper divisors (737172693050).

4515076766641 is an frugal number, since it uses more digits than its factorization.

4515076766641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607120 (or 303560 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 58.

The spelling of 4515076766641 in words is "four trillion, five hundred fifteen billion, seventy-six million, seven hundred sixty-six thousand, six hundred forty-one".