61655285959744 has 63 divisors (see below), whose sum is σ = 123514791244117. Its totient is φ = 30536204881664.

The previous prime is 61655285959721. The next prime is 61655285959829. The reversal of 61655285959744 is 44795958255616.

The square root of 61655285959744 is 7852088.

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

It can be written as a sum of positive squares in only one way, i.e., 1615847745600 + 60039438214144 = 1271160^2 + 7748512^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6721382742 + ... + 6721391914.

Almost surely, 2^{61655285959744} is an apocalyptic number.

61655285959744 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

61655285959744 is the 7852088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61655285959744

61655285959744 is an abundant number, since it is smaller than the sum of its proper divisors (61859505284373).

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

61655285959744 is an frugal number, since it uses more digits than its factorization.

61655285959744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18572 (or 9282 counting only the distinct ones).

The product of its digits is 3265920000, while the sum is 76.

The spelling of 61655285959744 in words is "sixty-one trillion, six hundred fifty-five billion, two hundred eighty-five million, nine hundred fifty-nine thousand, seven hundred forty-four".