61441614416 has 80 divisors (see below), whose sum is σ = 147965612928. Its totient is φ = 24065856000.

The previous prime is 61441614389. The next prime is 61441614419.

It is a happy number.

61441614416 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 61441614416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61441614419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61850 + ... + 355961.

Almost surely, 2^61441614416 is an apocalyptic number.

It is an amenable number.

61441614416 is an abundant number, since it is smaller than the sum of its proper divisors (86523998512).

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

61441614416 is a wasteful number, since it uses less digits than its factorization.

61441614416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417940 (or 417934 counting only the distinct ones).

The product of its digits is 55296, while the sum is 38.

The spelling of 61441614416 in words is "sixty-one billion, four hundred forty-one million, six hundred fourteen thousand, four hundred sixteen".