61482661023744 has 195 divisors, whose sum is σ = 183680007892513. Its totient is φ = 20492714852352.

The previous prime is 61482661023713. The next prime is 61482661023761. The reversal of 61482661023744 is 44732016628416.

The square root of 61482661023744 is 7841088.

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

61482661023744 is a `hidden beast` number, since 6 + 1 + 4 + 8 + 266 + 1 + 0 + 2 + 374 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9032601600 + 61473628422144 = 95040^2 + 7840512^2 .

It is a super-2 number, since 2×61482661023744² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 14 ways as a sum of consecutive naturals, for example, 4516459882 + ... + 4516473494.

Almost surely, 2^{61482661023744} is an apocalyptic number.

61482661023744 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

61482661023744 is the 7841088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61482661023744

61482661023744 is an abundant number, since it is smaller than the sum of its proper divisors (122197346868769).

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

61482661023744 is an frugal number, since it uses more digits than its factorization.

61482661023744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27262 (or 13618 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 61482661023744 in words is "sixty-one trillion, four hundred eighty-two billion, six hundred sixty-one million, twenty-three thousand, seven hundred forty-four".