61723197129216 has 320 divisors, whose sum is σ = 200676435886080. Its totient is φ = 16477825351680.

The previous prime is 61723197129049. The next prime is 61723197129241. The reversal of 61723197129216 is 61292179132716.

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, 6473265 + ... + 12858831.

It is an arithmetic number, because the mean of its divisors is an integer number (627113862144).

Almost surely, 2^{61723197129216} 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 61723197129216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100338217943040).

61723197129216 is an abundant number, since it is smaller than the sum of its proper divisors (138953238756864).

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

61723197129216 is a wasteful number, since it uses less digits than its factorization.

61723197129216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6385655 (or 6385639 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 57.

The spelling of 61723197129216 in words is "sixty-one trillion, seven hundred twenty-three billion, one hundred ninety-seven million, one hundred twenty-nine thousand, two hundred sixteen".