61033924224 has 256 divisors, whose sum is σ = 221705568000. Its totient is φ = 16096776192.

The previous prime is 61033924139. The next prime is 61033924253. The reversal of 61033924224 is 42242933016.

61033924224 is a `hidden beast` number, since 61 + 0 + 339 + 242 + 24 = 666.

61033924224 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217462 + ... + 411530.

It is an arithmetic number, because the mean of its divisors is an integer number (866037375).

Almost surely, 2^61033924224 is an apocalyptic number.

61033924224 is a gapful number since it is divisible by the number (64) 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 61033924224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110852784000).

61033924224 is an abundant number, since it is smaller than the sum of its proper divisors (160671643776).

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

61033924224 is a wasteful number, since it uses less digits than its factorization.

61033924224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194112 (or 194094 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 61033924224 in words is "sixty-one billion, thirty-three million, nine hundred twenty-four thousand, two hundred twenty-four".