61344653216 has 192 divisors, whose sum is σ = 152271415296. Its totient is φ = 23632819200.

The previous prime is 61344653207. The next prime is 61344653219. The reversal of 61344653216 is 61235644316.

It is not an unprimeable number, because it can be changed into a prime (61344653219) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 117293531 + ... + 117294053.

It is an arithmetic number, because the mean of its divisors is an integer number (793080288).

Almost surely, 2^61344653216 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 61344653216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76135707648).

61344653216 is an abundant number, since it is smaller than the sum of its proper divisors (90926762080).

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

61344653216 is a wasteful number, since it uses less digits than its factorization.

61344653216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 987 counting only the distinct ones).

The product of its digits is 311040, while the sum is 41.

The spelling of 61344653216 in words is "sixty-one billion, three hundred forty-four million, six hundred fifty-three thousand, two hundred sixteen".