64113784849 has 27 divisors (see below), whose sum is σ = 68319429969. Its totient is φ = 60161983200.

The previous prime is 64113784783. The next prime is 64113784859. The reversal of 64113784849 is 94848731146.

The square root of 64113784849 is 253207.

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 32258674449 + 31855110400 = 179607^2 + 178480^2 .

It is not a de Polignac number, because 64113784849 - 2²¹ = 64111687697 is a prime.

It is a super-2 number, since 2×64113784849² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 64113784849.

It is not an unprimeable number, because it can be changed into a prime (64113784859) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 588199807 + ... + 588199915.

Almost surely, 2^64113784849 is an apocalyptic number.

64113784849 is the 253207-th square number.

64113784849 is the 126604-th centered octagonal number.

It is an amenable number.

64113784849 is a deficient number, since it is larger than the sum of its proper divisors (4205645120).

64113784849 is an equidigital number, since it uses as much as digits as its factorization.

64113784849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 233 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 55.

The spelling of 64113784849 in words is "sixty-four billion, one hundred thirteen million, seven hundred eighty-four thousand, eight hundred forty-nine".