71468536896 has 315 divisors, whose sum is σ = 219233259399. Its totient is φ = 23020837632.

The previous prime is 71468536889. The next prime is 71468536897. The reversal of 71468536896 is 69863586417.

The square root of 71468536896 is 267336.

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

71468536896 is a `hidden beast` number, since 7 + 1 + 4 + 6 + 8 + 536 + 8 + 96 = 666.

It is not an unprimeable number, because it can be changed into a prime (71468536897) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 904664985 + ... + 904665063.

Almost surely, 2^71468536896 is an apocalyptic number.

71468536896 is the 267336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71468536896

71468536896 is an abundant number, since it is smaller than the sum of its proper divisors (147764722503).

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

71468536896 is an frugal number, since it uses more digits than its factorization.

71468536896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 131 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 71468536896 in words is "seventy-one billion, four hundred sixty-eight million, five hundred thirty-six thousand, eight hundred ninety-six".