61220349806208 has 128 divisors (see below), whose sum is σ = 172253339925120. Its totient is φ = 19198452596736.

The previous prime is 61220349806047. The next prime is 61220349806237. The reversal of 61220349806208 is 80260894302216.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13882116 + ... + 17752572.

It is an arithmetic number, because the mean of its divisors is an integer number (1345729218165).

Almost surely, 2^{61220349806208} is an apocalyptic number.

61220349806208 is a gapful number since it is divisible by the number (68) 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 61220349806208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86126669962560).

61220349806208 is an abundant number, since it is smaller than the sum of its proper divisors (111032990118912).

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

61220349806208 is a wasteful number, since it uses less digits than its factorization.

61220349806208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3872914 (or 3872902 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 61220349806208 in words is "sixty-one trillion, two hundred twenty billion, three hundred forty-nine million, eight hundred six thousand, two hundred eight".