336319964761 has 9 divisors (see below), whose sum is σ = 369681022879. Its totient is φ = 305739623200.

The previous prime is 336319964753. The next prime is 336319964777. The reversal of 336319964761 is 167469913633.

The square root of 336319964761 is 579931.

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., 29935574361 + 306384390400 = 173019^2 + 553520^2 .

It is not a de Polignac number, because 336319964761 - 2³ = 336319964753 is a prime.

It is a super-2 number, since 2×336319964761² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 336319964696 and 336319964705.

It is not an unprimeable number, because it can be changed into a prime (336319964711) 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, 6352881 + ... + 6405601.

Almost surely, 2^336319964761 is an apocalyptic number.

336319964761 is the 579931-st square number.

336319964761 is the 289966-th centered octagonal number.

It is an amenable number.

336319964761 is a deficient number, since it is larger than the sum of its proper divisors (33361058118).

336319964761 is an frugal number, since it uses more digits than its factorization.

336319964761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105464 (or 52732 counting only the distinct ones).

The product of its digits is 13226976, while the sum is 58.

The spelling of 336319964761 in words is "three hundred thirty-six billion, three hundred nineteen million, nine hundred sixty-four thousand, seven hundred sixty-one".