61429934592 has 240 divisors, whose sum is σ = 191313562440. Its totient is φ = 18863456256.

The previous prime is 61429934591. The next prime is 61429934597. The reversal of 61429934592 is 29543992416.

61429934592 is a `hidden beast` number, since 6 + 1 + 4 + 299 + 345 + 9 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51394703616 + 10035230976 = 226704^2 + 100176^2 .

It is not an unprimeable number, because it can be changed into a prime (61429934591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49659798 + ... + 49661034.

Almost surely, 2^61429934592 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 61429934592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95656781220).

61429934592 is an abundant number, since it is smaller than the sum of its proper divisors (129883627848).

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

61429934592 is a wasteful number, since it uses less digits than its factorization.

61429934592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2084 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The spelling of 61429934592 in words is "sixty-one billion, four hundred twenty-nine million, nine hundred thirty-four thousand, five hundred ninety-two".