71263665648 has 160 divisors (see below), whose sum is σ = 236090603520. Its totient is φ = 20159366400.

The previous prime is 71263665553. The next prime is 71263665709. The reversal of 71263665648 is 84656636217.

71263665648 is a `hidden beast` number, since 7 + 12 + 6 + 3 + 66 + 564 + 8 = 666.

It is a super-3 number, since 3×71263665648³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 71263665594 and 71263665603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188761 + ... + 422087.

It is an arithmetic number, because the mean of its divisors is an integer number (1475566272).

Almost surely, 2^71263665648 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 71263665648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118045301760).

71263665648 is an abundant number, since it is smaller than the sum of its proper divisors (164826937872).

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

71263665648 is a wasteful number, since it uses less digits than its factorization.

71263665648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233452 (or 233440 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 71263665648 in words is "seventy-one billion, two hundred sixty-three million, six hundred sixty-five thousand, six hundred forty-eight".