61804855840816 has 80 divisors (see below), whose sum is σ = 131105647808640. Its totient is φ = 27991486402560.

The previous prime is 61804855840781. The next prime is 61804855840817.

61804855840816 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (61804855840817) 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 15 ways as a sum of consecutive naturals, for example, 678986955 + ... + 679077973.

It is an arithmetic number, because the mean of its divisors is an integer number (1638820597608).

Almost surely, 2^{61804855840816} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61804855840816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65552823904320).

61804855840816 is an abundant number, since it is smaller than the sum of its proper divisors (69300791967824).

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

61804855840816 is a wasteful number, since it uses less digits than its factorization.

61804855840816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104954 (or 104948 counting only the distinct ones).

The product of its (nonzero) digits is 58982400, while the sum is 64.

The spelling of 61804855840816 in words is "sixty-one trillion, eight hundred four billion, eight hundred fifty-five million, eight hundred forty thousand, eight hundred sixteen".