71313134542752 has 96 divisors (see below), whose sum is σ = 188221680085824. Its totient is φ = 23641019494400.

The previous prime is 71313134542717. The next prime is 71313134542759. The reversal of 71313134542752 is 25724543131317.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (71313134542759) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47121352 + ... + 48611192.

It is an arithmetic number, because the mean of its divisors is an integer number (1960642500894).

Almost surely, 2^{71313134542752} 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 71313134542752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94110840042912).

71313134542752 is an abundant number, since it is smaller than the sum of its proper divisors (116908545543072).

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

71313134542752 is a wasteful number, since it uses less digits than its factorization.

71313134542752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492582 (or 1492574 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 48.

The spelling of 71313134542752 in words is "seventy-one trillion, three hundred thirteen billion, one hundred thirty-four million, five hundred forty-two thousand, seven hundred fifty-two".