61233033033216 has 240 divisors, whose sum is σ = 193757195174400. Its totient is φ = 18462217973760.

The previous prime is 61233033033169. The next prime is 61233033033223.

61233033033216 is a `hidden beast` number, since 6 + 1 + 2 + 3 + 303 + 3 + 0 + 332 + 16 = 666.

61233033033216 is nontrivially palindromic in base 10.

61233033033216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7051641 + ... + 13122183.

It is an arithmetic number, because the mean of its divisors is an integer number (807321646560).

Almost surely, 2^{61233033033216} is an apocalyptic number.

61233033033216 is a gapful number since it is divisible by the number (66) 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 61233033033216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96878597587200).

61233033033216 is an abundant number, since it is smaller than the sum of its proper divisors (132524162141184).

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

61233033033216 is a wasteful number, since it uses less digits than its factorization.

61233033033216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6070777 (or 6070758 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 36.

It can be divided in two parts, 6123303 and 3033216, that added together give a palindrome (9156519).

The spelling of 61233033033216 in words is "sixty-one trillion, two hundred thirty-three billion, thirty-three million, thirty-three thousand, two hundred sixteen".