71416455461417 has 6 divisors (see below), whose sum is σ = 78499079143674. Its totient is φ = 64924050419360.

The previous prime is 71416455461411. The next prime is 71416455461419.

71416455461417 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 40849942828816 + 30566512632601 = 6391396^2 + 5528699^2 .

It is not a de Polignac number, because 71416455461417 - 2¹⁰ = 71416455460393 is a prime.

It is a super-2 number, since 2×71416455461417² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71416455461411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 295109319968 + ... + 295109320209.

It is an arithmetic number, because the mean of its divisors is an integer number (13083179857279).

Almost surely, 2^{71416455461417} is an apocalyptic number.

It is an amenable number.

71416455461417 is a deficient number, since it is larger than the sum of its proper divisors (7082623682257).

71416455461417 is a wasteful number, since it uses less digits than its factorization.

71416455461417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590218640199 (or 590218640188 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 56.

The spelling of 71416455461417 in words is "seventy-one trillion, four hundred sixteen billion, four hundred fifty-five million, four hundred sixty-one thousand, four hundred seventeen".