71187846345 has 96 divisors (see below), whose sum is σ = 161936686080. Its totient is φ = 28027451520.

The previous prime is 71187846259. The next prime is 71187846349. The reversal of 71187846345 is 54364878117.

71187846345 is a `hidden beast` number, since 71 + 1 + 8 + 78 + 463 + 45 = 666.

It is not a de Polignac number, because 71187846345 - 2¹³ = 71187838153 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 71187846291 and 71187846300.

It is not an unprimeable number, because it can be changed into a prime (71187846349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 474819 + ... + 606488.

It is an arithmetic number, because the mean of its divisors is an integer number (1686840480).

Almost surely, 2^71187846345 is an apocalyptic number.

It is an amenable number.

71187846345 is an abundant number, since it is smaller than the sum of its proper divisors (90748839735).

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

71187846345 is a wasteful number, since it uses less digits than its factorization.

71187846345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081355 (or 1081352 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The spelling of 71187846345 in words is "seventy-one billion, one hundred eighty-seven million, eight hundred forty-six thousand, three hundred forty-five".