61341419584 has 63 divisors (see below), whose sum is σ = 123539811213. Its totient is φ = 30219946752.

The previous prime is 61341419533. The next prime is 61341419591. The reversal of 61341419584 is 48591414316.

The square root of 61341419584 is 247672.

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., 33342760000 + 27998659584 = 182600^2 + 167328^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 164454022 + ... + 164454394.

Almost surely, 2^61341419584 is an apocalyptic number.

61341419584 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

61341419584 is the 247672-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61341419584

61341419584 is an abundant number, since it is smaller than the sum of its proper divisors (62198391629).

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

61341419584 is an frugal number, since it uses more digits than its factorization.

61341419584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 458 counting only the distinct ones).

The product of its digits is 414720, while the sum is 46.

The spelling of 61341419584 in words is "sixty-one billion, three hundred forty-one million, four hundred nineteen thousand, five hundred eighty-four".