71823833661258 has 160 divisors (see below), whose sum is σ = 187684200887040. Its totient is φ = 20105941305600.

The previous prime is 71823833661233. The next prime is 71823833661323. The reversal of 71823833661258 is 85216633832817.

71823833661258 is a `hidden beast` number, since 7 + 1 + 8 + 2 + 3 + 8 + 3 + 3 + 6 + 612 + 5 + 8 = 666.

It is a super-2 number, since 2×71823833661258² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 71823833661195 and 71823833661204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9627148 + ... + 15373016.

It is an arithmetic number, because the mean of its divisors is an integer number (1173026255544).

Almost surely, 2^{71823833661258} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71823833661258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93842100443520).

71823833661258 is an abundant number, since it is smaller than the sum of its proper divisors (115860367225782).

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

71823833661258 is a wasteful number, since it uses less digits than its factorization.

71823833661258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5746114 (or 5746105 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 71823833661258 in words is "seventy-one trillion, eight hundred twenty-three billion, eight hundred thirty-three million, six hundred sixty-one thousand, two hundred fifty-eight".