3418656779521 has 9 divisors (see below), whose sum is σ = 3428538306921. Its totient is φ = 3408803666352.

The previous prime is 3418656779501. The next prime is 3418656779533. The reversal of 3418656779521 is 1259776568143.

The square root of 3418656779521 is 1848961.

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

It can be written as a sum of positive squares in 4 ways, for example, as 590609157121 + 2828047622400 = 768511^2 + 1681680^2 .

It is not a de Polignac number, because 3418656779521 - 2¹⁹ = 3418656255233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3418656779501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 689659975 + ... + 689664931.

It is an arithmetic number, because the mean of its divisors is an integer number (380948700769).

Almost surely, 2^{3418656779521} is an apocalyptic number.

3418656779521 is the 1848961-st square number.

3418656779521 is the 924481-st centered octagonal number.

It is an amenable number.

3418656779521 is a deficient number, since it is larger than the sum of its proper divisors (9881527400).

3418656779521 is an frugal number, since it uses more digits than its factorization.

3418656779521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10660 (or 5330 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 64.

Multiplying 3418656779521 by its sum of digits (64), we get a square (218794033889344 = 14791688²).

The spelling of 3418656779521 in words is "three trillion, four hundred eighteen billion, six hundred fifty-six million, seven hundred seventy-nine thousand, five hundred twenty-one".