61414322341416 has 64 divisors (see below), whose sum is σ = 172020460639680. Its totient is φ = 18107416903680.

The previous prime is 61414322341247. The next prime is 61414322341483.

61414322341416 is nontrivially palindromic in base 10.

61414322341416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3143639001 + ... + 3143658536.

It is an arithmetic number, because the mean of its divisors is an integer number (2687819697495).

Almost surely, 2^{61414322341416} is an apocalyptic number.

61414322341416 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

61414322341416 is an abundant number, since it is smaller than the sum of its proper divisors (110606138298264).

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

61414322341416 is a wasteful number, since it uses less digits than its factorization.

61414322341416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6287297594 (or 6287297590 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

It can be divided in two parts, 6141432 and 2341416, that added together give a palindrome (8482848).

The spelling of 61414322341416 in words is "sixty-one trillion, four hundred fourteen billion, three hundred twenty-two million, three hundred forty-one thousand, four hundred sixteen".