61061345271296 has 320 divisors, whose sum is σ = 136074484389888. Its totient is φ = 27226005700608.

The previous prime is 61061345271229. The next prime is 61061345271331. The reversal of 61061345271296 is 69217254316016.

61061345271296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10344117881 + ... + 10344123783.

Almost surely, 2^{61061345271296} 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 61061345271296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68037242194944).

61061345271296 is an abundant number, since it is smaller than the sum of its proper divisors (75013139118592).

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

61061345271296 is a wasteful number, since it uses less digits than its factorization.

61061345271296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6441 (or 6425 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 53.

The spelling of 61061345271296 in words is "sixty-one trillion, sixty-one billion, three hundred forty-five million, two hundred seventy-one thousand, two hundred ninety-six".