71233877833217 has 8 divisors (see below), whose sum is σ = 78397381236960. Its totient is φ = 64184990484160.

The previous prime is 71233877833211. The next prime is 71233877833267.

71233877833217 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 71233877833217 - 2²⁰ = 71233876784641 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 71233877833217.

It is not an unprimeable number, because it can be changed into a prime (71233877833211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28654012367 + ... + 28654014852.

It is an arithmetic number, because the mean of its divisors is an integer number (9799672654620).

Almost surely, 2^{71233877833217} is an apocalyptic number.

It is an amenable number.

71233877833217 is a deficient number, since it is larger than the sum of its proper divisors (7163503403743).

71233877833217 is a wasteful number, since it uses less digits than its factorization.

71233877833217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57308027343.

The product of its digits is 49787136, while the sum is 62.

The spelling of 71233877833217 in words is "seventy-one trillion, two hundred thirty-three billion, eight hundred seventy-seven million, eight hundred thirty-three thousand, two hundred seventeen".