61410787344 has 135 divisors (see below), whose sum is σ = 174389686653. Its totient is φ = 20173879296.

The previous prime is 61410787337. The next prime is 61410787367. The reversal of 61410787344 is 44378701416.

The square root of 61410787344 is 247812.

It is a perfect power (a square), and thus also a powerful number.

61410787344 is a `hidden beast` number, since 61 + 410 + 78 + 73 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14879120400 + 46531666944 = 121980^2 + 215712^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 61410787344.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 318190512 + ... + 318190704.

Almost surely, 2^61410787344 is an apocalyptic number.

61410787344 is the 247812-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61410787344

61410787344 is an abundant number, since it is smaller than the sum of its proper divisors (112978899309).

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

61410787344 is a wasteful number, since it uses less digits than its factorization.

61410787344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 61410787344 in words is "sixty-one billion, four hundred ten million, seven hundred eighty-seven thousand, three hundred forty-four".