75334112208001 has 16 divisors (see below), whose sum is σ = 78322712943616. Its totient is φ = 72380952000000.

The previous prime is 75334112207987. The next prime is 75334112208059. The reversal of 75334112208001 is 10080221143357.

It is a cyclic number.

It is not a de Polignac number, because 75334112208001 - 2⁹ = 75334112207489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75334112208301) 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, 3962521 + ... + 12898441.

It is an arithmetic number, because the mean of its divisors is an integer number (4895169558976).

It is a Poulet number, since it divides 2^{75334112208000}-1.

Almost surely, 2^{75334112208001} is an apocalyptic number.

75334112208001 is the 3881601-st centered decagonal number.

It is an amenable number.

75334112208001 is a deficient number, since it is larger than the sum of its proper divisors (2988600735615).

75334112208001 is a wasteful number, since it uses less digits than its factorization.

75334112208001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8937904.

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 75334112208001 in words is "seventy-five trillion, three hundred thirty-four billion, one hundred twelve million, two hundred eight thousand, one".