10203364644641 has 32 divisors (see below), whose sum is σ = 13028513195520. Its totient is φ = 7784938377216.

The previous prime is 10203364644559. The next prime is 10203364644653. The reversal of 10203364644641 is 14644646330201.

It is a de Polignac number, because none of the positive numbers 2^k-10203364644641 is a prime.

It is a super-4 number, since 4×10203364644641⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10203364644592 and 10203364644601.

It is not an unprimeable number, because it can be changed into a prime (10203364644661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20699876 + ... + 21187061.

It is an arithmetic number, because the mean of its divisors is an integer number (407141037360).

Almost surely, 2^{10203364644641} is an apocalyptic number.

It is an amenable number.

10203364644641 is a deficient number, since it is larger than the sum of its proper divisors (2825148550879).

10203364644641 is a wasteful number, since it uses less digits than its factorization.

10203364644641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41887073.

The product of its (nonzero) digits is 995328, while the sum is 44.

The spelling of 10203364644641 in words is "ten trillion, two hundred three billion, three hundred sixty-four million, six hundred forty-four thousand, six hundred forty-one".