67188268849 has 27 divisors (see below), whose sum is σ = 73801594017. Its totient is φ = 61139673504.

The previous prime is 67188268843. The next prime is 67188268897. The reversal of 67188268849 is 94886288176.

The square root of 67188268849 is 259207.

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 21665779249 + 45522489600 = 147193^2 + 213360^2 .

It is not a de Polignac number, because 67188268849 - 2²¹ = 67186171697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67188268843) 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, 427950679 + ... + 427950835.

It is an arithmetic number, because the mean of its divisors is an integer number (2733392371).

Almost surely, 2^67188268849 is an apocalyptic number.

67188268849 is the 259207-th square number.

67188268849 is the 129604-th centered octagonal number.

It is an amenable number.

67188268849 is a deficient number, since it is larger than the sum of its proper divisors (6613325168).

67188268849 is an equidigital number, since it uses as much as digits as its factorization.

67188268849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 297 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 67.

The spelling of 67188268849 in words is "sixty-seven billion, one hundred eighty-eight million, two hundred sixty-eight thousand, eight hundred forty-nine".