61342833824316 has 288 divisors, whose sum is σ = 182566460428800. Its totient is φ = 17765245555200.

The previous prime is 61342833824309. The next prime is 61342833824333.

61342833824316 is a `hidden beast` number, since 6 + 1 + 34 + 28 + 338 + 243 + 16 = 666.

61342833824316 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 351873300 + ... + 352047588.

Almost surely, 2^{61342833824316} is an apocalyptic number.

61342833824316 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61342833824316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91283230214400).

61342833824316 is an abundant number, since it is smaller than the sum of its proper divisors (121223626604484).

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

61342833824316 is a wasteful number, since it uses less digits than its factorization.

61342833824316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175518 (or 175499 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

It can be divided in two parts, 6134283 and 3824316, that added together give a palindrome (9958599).

The spelling of 61342833824316 in words is "sixty-one trillion, three hundred forty-two billion, eight hundred thirty-three million, eight hundred twenty-four thousand, three hundred sixteen".