71148093696 has 81 divisors (see below), whose sum is σ = 205174415901. Its totient is φ = 23711763456.

The previous prime is 71148093683. The next prime is 71148093713. The reversal of 71148093696 is 69639084117.

The square root of 71148093696 is 266736.

It is a perfect power (a square), and thus also a powerful number.

71148093696 is a `hidden beast` number, since 7 + 11 + 480 + 93 + 69 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 67060281600 + 4087812096 = 258960^2 + 63936^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12800550 + ... + 12806106.

Almost surely, 2^71148093696 is an apocalyptic number.

71148093696 is the 266736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71148093696

71148093696 is an abundant number, since it is smaller than the sum of its proper divisors (134026322205).

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

71148093696 is an frugal number, since it uses more digits than its factorization.

71148093696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11136 (or 5562 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 71148093696 in words is "seventy-one billion, one hundred forty-eight million, ninety-three thousand, six hundred ninety-six".