71986946475408 has 160 divisors (see below), whose sum is σ = 197739276019200. Its totient is φ = 22523683166208.

The previous prime is 71986946475401. The next prime is 71986946475439. The reversal of 71986946475408 is 80457464968917.

It is a super-3 number, since 3×71986946475408³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (71986946475401) 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, 62729785 + ... + 63867047.

It is an arithmetic number, because the mean of its divisors is an integer number (1235870475120).

Almost surely, 2^{71986946475408} 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 71986946475408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98869638009600).

71986946475408 is an abundant number, since it is smaller than the sum of its proper divisors (125752329543792).

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

71986946475408 is a wasteful number, since it uses less digits than its factorization.

71986946475408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138569 (or 1138563 counting only the distinct ones).

The product of its (nonzero) digits is 2926264320, while the sum is 78.

The spelling of 71986946475408 in words is "seventy-one trillion, nine hundred eighty-six billion, nine hundred forty-six million, four hundred seventy-five thousand, four hundred eight".