71468684352 has 336 divisors, whose sum is σ = 234877996080. Its totient is φ = 20582498304.

The previous prime is 71468684333. The next prime is 71468684359. The reversal of 71468684352 is 25348686417.

It is a happy number.

71468684352 is a `hidden beast` number, since 7 + 146 + 8 + 68 + 435 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 38638656 + 71430045696 = 6216^2 + 267264^2 .

It is not an unprimeable number, because it can be changed into a prime (71468684359) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24566674 + ... + 24569582.

It is an arithmetic number, because the mean of its divisors is an integer number (699041655).

Almost surely, 2^71468684352 is an apocalyptic number.

71468684352 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71468684352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117438998040).

71468684352 is an abundant number, since it is smaller than the sum of its proper divisors (163409311728).

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

71468684352 is a wasteful number, since it uses less digits than its factorization.

71468684352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3150 (or 3137 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 71468684352 in words is "seventy-one billion, four hundred sixty-eight million, six hundred eighty-four thousand, three hundred fifty-two".