71142253222096 has 80 divisors (see below), whose sum is σ = 161389262926080. Its totient is φ = 29742606812160.

The previous prime is 71142253222057. The next prime is 71142253222099. The reversal of 71142253222096 is 69022235224117.

It is a super-2 number, since 2×71142253222096² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71142253222099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40978125 + ... + 42678931.

It is an arithmetic number, because the mean of its divisors is an integer number (2017365786576).

Almost surely, 2^{71142253222096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71142253222096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80694631463040).

71142253222096 is an abundant number, since it is smaller than the sum of its proper divisors (90247009703984).

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

71142253222096 is a wasteful number, since it uses less digits than its factorization.

71142253222096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709972 (or 1709966 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 71142253222096 in words is "seventy-one trillion, one hundred forty-two billion, two hundred fifty-three million, two hundred twenty-two thousand, ninety-six".