61758214144 has 117 divisors (see below), whose sum is σ = 136135067089. Its totient is φ = 27992391680.

The previous prime is 61758214121. The next prime is 61758214163. The reversal of 61758214144 is 44141285716.

The square root of 61758214144 is 248512.

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., 25090560000 + 36667654144 = 158400^2 + 191488^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 61758214144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 174952272 + ... + 174952624.

Almost surely, 2^61758214144 is an apocalyptic number.

61758214144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

61758214144 is the 248512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61758214144

61758214144 is an abundant number, since it is smaller than the sum of its proper divisors (74376852945).

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

61758214144 is an frugal number, since it uses more digits than its factorization.

61758214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 366 counting only the distinct ones).

The product of its digits is 215040, while the sum is 43.

The spelling of 61758214144 in words is "sixty-one billion, seven hundred fifty-eight million, two hundred fourteen thousand, one hundred forty-four".