61328433348 has 576 divisors, whose sum is σ = 204061777920. Its totient is φ = 15103355904.

The previous prime is 61328433337. The next prime is 61328433367. The reversal of 61328433348 is 84333482316.

61328433348 is a `hidden beast` number, since 613 + 28 + 4 + 3 + 3 + 3 + 4 + 8 = 666.

It is a super-2 number, since 2×61328433348² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 390626886 + ... + 390627042.

It is an arithmetic number, because the mean of its divisors is an integer number (354273920).

Almost surely, 2^61328433348 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 61328433348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102030888960).

61328433348 is an abundant number, since it is smaller than the sum of its proper divisors (142733344572).

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

61328433348 is a wasteful number, since it uses less digits than its factorization.

61328433348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 331 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 61328433348 in words is "sixty-one billion, three hundred twenty-eight million, four hundred thirty-three thousand, three hundred forty-eight".