61844121201610 has 64 divisors (see below), whose sum is σ = 121777002270720. Its totient is φ = 22426252787520.

The previous prime is 61844121201571. The next prime is 61844121201631. The reversal of 61844121201610 is 1610212144816.

61844121201610 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×61844121201610³ (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61844121201610.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1053910251 + ... + 1053968929.

It is an arithmetic number, because the mean of its divisors is an integer number (1902765660480).

Almost surely, 2^{61844121201610} is an apocalyptic number.

61844121201610 is a deficient number, since it is larger than the sum of its proper divisors (59932881069110).

61844121201610 is a wasteful number, since it uses less digits than its factorization.

61844121201610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85171.

The product of its (nonzero) digits is 18432, while the sum is 37.

The spelling of 61844121201610 in words is "sixty-one trillion, eight hundred forty-four billion, one hundred twenty-one million, two hundred one thousand, six hundred ten".