61223752128 has 896 divisors, whose sum is σ = 224498221056. Its totient is φ = 14244249600.

The previous prime is 61223752123. The next prime is 61223752147. The reversal of 61223752128 is 82125732216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61223752123) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 838681500 + ... + 838681572.

Almost surely, 2^61223752128 is an apocalyptic number.

61223752128 is a gapful number since it is divisible by the number (68) 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 61223752128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112249110528).

61223752128 is an abundant number, since it is smaller than the sum of its proper divisors (163274468928).

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

61223752128 is a wasteful number, since it uses less digits than its factorization.

61223752128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 231 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The spelling of 61223752128 in words is "sixty-one billion, two hundred twenty-three million, seven hundred fifty-two thousand, one hundred twenty-eight".