71148480169536 has 448 divisors, whose sum is σ = 263082893045760. Its totient is φ = 18316579921920.

The previous prime is 71148480169517. The next prime is 71148480169537. The reversal of 71148480169536 is 63596108484117.

71148480169536 is a `hidden beast` number, since 7 + 1 + 1 + 4 + 8 + 4 + 80 + 16 + 9 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (71148480169537) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12669285 + ... + 17401371.

Almost surely, 2^{71148480169536} 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 71148480169536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131541446522880).

71148480169536 is an abundant number, since it is smaller than the sum of its proper divisors (191934412876224).

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

71148480169536 is a wasteful number, since it uses less digits than its factorization.

71148480169536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4732239 (or 4732223 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 71148480169536 in words is "seventy-one trillion, one hundred forty-eight billion, four hundred eighty million, one hundred sixty-nine thousand, five hundred thirty-six".