71419455616 has 96 divisors (see below), whose sum is σ = 151621607700. Its totient is φ = 33509425152.

The previous prime is 71419455589. The next prime is 71419455641. The reversal of 71419455616 is 61655491417.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 22536014400 + 48883441216 = 150120^2 + 221096^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 71419455616.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211927000 + ... + 211927336.

Almost surely, 2^71419455616 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 71419455616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75810803850).

71419455616 is an abundant number, since it is smaller than the sum of its proper divisors (80202152084).

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

71419455616 is an frugal number, since it uses more digits than its factorization.

71419455616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 356 counting only the distinct ones).

The product of its digits is 907200, while the sum is 49.

The spelling of 71419455616 in words is "seventy-one billion, four hundred nineteen million, four hundred fifty-five thousand, six hundred sixteen".