61344414100 has 36 divisors (see below), whose sum is σ = 135949673664. Its totient is φ = 24015683680.

The previous prime is 61344414071. The next prime is 61344414101. The reversal of 61344414100 is 141444316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61344414101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6521302 + ... + 6530701.

It is an arithmetic number, because the mean of its divisors is an integer number (3776379824).

Almost surely, 2^61344414100 is an apocalyptic number.

It is an amenable number.

61344414100 is an abundant number, since it is smaller than the sum of its proper divisors (74605259564).

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

61344414100 is a wasteful number, since it uses less digits than its factorization.

61344414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13052064 (or 13052057 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 61344414100 its reverse (141444316), we get a palindrome (61485858416).

The spelling of 61344414100 in words is "sixty-one billion, three hundred forty-four million, four hundred fourteen thousand, one hundred".