61713128448 has 352 divisors, whose sum is σ = 199066656000. Its totient is φ = 18811699200.

The previous prime is 61713128441. The next prime is 61713128473. The reversal of 61713128448 is 84482131716.

61713128448 is a `hidden beast` number, since 6 + 171 + 31 + 2 + 8 + 448 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61713128441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15232023 + ... + 15236073.

Almost surely, 2^61713128448 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 61713128448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99533328000).

61713128448 is an abundant number, since it is smaller than the sum of its proper divisors (137353527552).

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

61713128448 is a wasteful number, since it uses less digits than its factorization.

61713128448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4128 (or 4104 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 61713128448 in words is "sixty-one billion, seven hundred thirteen million, one hundred twenty-eight thousand, four hundred forty-eight".