67353043472101 has 16 divisors (see below), whose sum is σ = 74443114733040. Its totient is φ = 60666714823680.

The previous prime is 67353043472089. The next prime is 67353043472119. The reversal of 67353043472101 is 10127434035376.

It is a Cunningham number, because it is equal to 8206890²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 1483830951876 + 65869212520225 = 1218126^2 + 8115985^2 .

It is a cyclic number.

It is not a de Polignac number, because 67353043472101 - 2⁹ = 67353043471589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67353043472191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 877662946 + ... + 877739683.

It is an arithmetic number, because the mean of its divisors is an integer number (4652694670815).

Almost surely, 2^{67353043472101} is an apocalyptic number.

67353043472101 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

67353043472101 is a deficient number, since it is larger than the sum of its proper divisors (7090071260939).

67353043472101 is a wasteful number, since it uses less digits than its factorization.

67353043472101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755402744.

The product of its (nonzero) digits is 1270080, while the sum is 46.

The spelling of 67353043472101 in words is "sixty-seven trillion, three hundred fifty-three billion, forty-three million, four hundred seventy-two thousand, one hundred one".