67049438112 has 72 divisors (see below), whose sum is σ = 195825163716. Its totient is φ = 21745760256.

The previous prime is 67049438107. The next prime is 67049438117. The reversal of 67049438112 is 21183494076.

67049438112 is a `hidden beast` number, since 6 + 70 + 494 + 3 + 81 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (67049438107) and next prime (67049438117).

It can be written as a sum of positive squares in 2 ways, for example, as 65411131536 + 1638306576 = 255756^2 + 40476^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×67049438112³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (67049438117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3135433 + ... + 3156744.

Almost surely, 2^67049438112 is an apocalyptic number.

It is an amenable number.

67049438112 is an abundant number, since it is smaller than the sum of its proper divisors (128775725604).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

67049438112 is a wasteful number, since it uses less digits than its factorization.

67049438112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6292230 (or 6292219 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 67049438112 in words is "sixty-seven billion, forty-nine million, four hundred thirty-eight thousand, one hundred twelve".