61133033728 has 144 divisors (see below), whose sum is σ = 133098739200. Its totient is φ = 27856281600.

The previous prime is 61133033711. The next prime is 61133033743. The reversal of 61133033728 is 82733033116.

It is a super-3 number, since 3×61133033728³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120103938 + ... + 120104446.

It is an arithmetic number, because the mean of its divisors is an integer number (924296800).

Almost surely, 2^61133033728 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 61133033728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66549369600).

61133033728 is an abundant number, since it is smaller than the sum of its proper divisors (71965705472).

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

61133033728 is a wasteful number, since it uses less digits than its factorization.

61133033728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The spelling of 61133033728 in words is "sixty-one billion, one hundred thirty-three million, thirty-three thousand, seven hundred twenty-eight".