67404214940049 has 135 divisors (see below), whose sum is σ = 111475292105793. Its totient is φ = 40569782430528.

The previous prime is 67404214940021. The next prime is 67404214940063. The reversal of 67404214940049 is 94004941240476.

The square root of 67404214940049 is 8210007.

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

67404214940049 is a `hidden beast` number, since 6 + 74 + 0 + 42 + 1 + 494 + 0 + 0 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62496500049 + 67341718440000 = 249993^2 + 8206200^2 .

It is not a de Polignac number, because 67404214940049 - 2¹⁹ = 67404214415761 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 67404214939977 and 67404214940004.

It is not an unprimeable number, because it can be changed into a prime (67404214940549) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 45146827747 + ... + 45146829239.

Almost surely, 2^{67404214940049} is an apocalyptic number.

67404214940049 is the 8210007-th square number.

67404214940049 is the 4105004-th centered octagonal number.

It is an amenable number.

67404214940049 is a deficient number, since it is larger than the sum of its proper divisors (44071077165744).

67404214940049 is an frugal number, since it uses more digits than its factorization.

67404214940049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3118 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 67404214940049 in words is "sixty-seven trillion, four hundred four billion, two hundred fourteen million, nine hundred forty thousand, forty-nine".