71006199914496 has 2688 divisors, whose sum is σ = 268383925877760. Its totient is φ = 16431395635200.

The previous prime is 71006199914471. The next prime is 71006199914519. The reversal of 71006199914496 is 69441999160017.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 542032060351 + ... + 542032060481.

It is an arithmetic number, because the mean of its divisors is an integer number (99845210520).

Almost surely, 2^{71006199914496} 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 71006199914496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134191962938880).

71006199914496 is an abundant number, since it is smaller than the sum of its proper divisors (197377725963264).

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

71006199914496 is a wasteful number, since it uses less digits than its factorization.

71006199914496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 66.

The spelling of 71006199914496 in words is "seventy-one trillion, six billion, one hundred ninety-nine million, nine hundred fourteen thousand, four hundred ninety-six".