61824833316 has 81 divisors (see below), whose sum is σ = 161967554931. Its totient is φ = 19883723328.

The previous prime is 61824833261. The next prime is 61824833321. The reversal of 61824833316 is 61333842816.

The square root of 61824833316 is 248646.

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

61824833316 is a `hidden beast` number, since 61 + 8 + 248 + 33 + 316 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14126273316 + 47698560000 = 118854^2 + 218400^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 43263690 + ... + 43265118.

Almost surely, 2^61824833316 is an apocalyptic number.

61824833316 is the 248646-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61824833316

61824833316 is an abundant number, since it is smaller than the sum of its proper divisors (100142721615).

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

61824833316 is a wasteful number, since it uses less digits than its factorization.

61824833316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926 (or 1463 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 61824833316 in words is "sixty-one billion, eight hundred twenty-four million, eight hundred thirty-three thousand, three hundred sixteen".