61242333324216 has 32 divisors (see below), whose sum is σ = 167024545430400. Its totient is φ = 18558282825440.

The previous prime is 61242333324209. The next prime is 61242333324287.

61242333324216 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115989267396 + ... + 115989267923.

It is an arithmetic number, because the mean of its divisors is an integer number (5219517044700).

Almost surely, 2^{61242333324216} is an apocalyptic number.

61242333324216 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

61242333324216 is an abundant number, since it is smaller than the sum of its proper divisors (105782212106184).

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

61242333324216 is a wasteful number, since it uses less digits than its factorization.

61242333324216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231978535339 (or 231978535335 counting only the distinct ones).

The product of its digits is 746496, while the sum is 42.

It can be divided in two parts, 6124233 and 3324216, that added together give a palindrome (9448449).

The spelling of 61242333324216 in words is "sixty-one trillion, two hundred forty-two billion, three hundred thirty-three million, three hundred twenty-four thousand, two hundred sixteen".