10204461611641 has 16 divisors (see below), whose sum is σ = 11646286541568. Its totient is φ = 8857955996800.

The previous prime is 10204461611627. The next prime is 10204461611677. The reversal of 10204461611641 is 14611616440201.

It is a cyclic number.

It is not a de Polignac number, because 10204461611641 - 2⁹ = 10204461611129 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10204461611641.

It is not an unprimeable number, because it can be changed into a prime (10204461611611) 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, 240684130 + ... + 240726523.

It is an arithmetic number, because the mean of its divisors is an integer number (727892908848).

Almost surely, 2^{10204461611641} is an apocalyptic number.

10204461611641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10204461611641 is a deficient number, since it is larger than the sum of its proper divisors (1441824929927).

10204461611641 is a wasteful number, since it uses less digits than its factorization.

10204461611641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481410752.

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 10204461611641 in words is "ten trillion, two hundred four billion, four hundred sixty-one million, six hundred eleven thousand, six hundred forty-one".