71993350694144 has 288 divisors, whose sum is σ = 166060942774272. Its totient is φ = 30842689536000.

The previous prime is 71993350694143. The next prime is 71993350694189. The reversal of 71993350694144 is 44149605339917.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71993350694143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2100935699 + ... + 2100969965.

It is an arithmetic number, because the mean of its divisors is an integer number (576600495744).

Almost surely, 2^{71993350694144} 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 71993350694144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83030471387136).

71993350694144 is an abundant number, since it is smaller than the sum of its proper divisors (94067592080128).

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

71993350694144 is a wasteful number, since it uses less digits than its factorization.

71993350694144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34953 (or 34939 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 65.

The spelling of 71993350694144 in words is "seventy-one trillion, nine hundred ninety-three billion, three hundred fifty million, six hundred ninety-four thousand, one hundred forty-four".