61810401816 has 96 divisors (see below), whose sum is σ = 171723071520. Its totient is φ = 20073177600.

The previous prime is 61810401803. The next prime is 61810401859.

61810401816 is a `hidden beast` number, since 618 + 10 + 4 + 0 + 18 + 16 = 666.

61810401816 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2179246 + ... + 2207426.

It is an arithmetic number, because the mean of its divisors is an integer number (1788781995).

Almost surely, 2^61810401816 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 61810401816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85861535760).

61810401816 is an abundant number, since it is smaller than the sum of its proper divisors (109912669704).

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

61810401816 is a wasteful number, since it uses less digits than its factorization.

61810401816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28977 (or 28970 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 61810401816 in words is "sixty-one billion, eight hundred ten million, four hundred one thousand, eight hundred sixteen".