61723017216 has 384 divisors, whose sum is σ = 211012214400. Its totient is φ = 17010524160.

The previous prime is 61723017211. The next prime is 61723017227. The reversal of 61723017216 is 61271032716.

It is a happy number.

61723017216 is a `hidden beast` number, since 617 + 2 + 3 + 0 + 17 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (61723017211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59866621 + ... + 59867651.

It is an arithmetic number, because the mean of its divisors is an integer number (549510975).

Almost surely, 2^61723017216 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 61723017216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105506107200).

61723017216 is an abundant number, since it is smaller than the sum of its proper divisors (149289197184).

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

61723017216 is a wasteful number, since it uses less digits than its factorization.

61723017216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 61723017216 in words is "sixty-one billion, seven hundred twenty-three million, seventeen thousand, two hundred sixteen".