10214246111641 has 24 divisors (see below), whose sum is σ = 12094053603912. Its totient is φ = 8569132915200.

The previous prime is 10214246111569. The next prime is 10214246111687. The reversal of 10214246111641 is 14611164241201.

It can be written as a sum of positive squares in 4 ways, for example, as 2429922910041 + 7784323201600 = 1558821^2 + 2790040^2 .

It is not a de Polignac number, because 10214246111641 - 2⁷ = 10214246111513 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10214246111597 and 10214246111606.

It is not an unprimeable number, because it can be changed into a prime (10214246111341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5117601 + ... + 6827761.

It is an arithmetic number, because the mean of its divisors is an integer number (503918900163).

Almost surely, 2^{10214246111641} is an apocalyptic number.

10214246111641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10214246111641 is a deficient number, since it is larger than the sum of its proper divisors (1879807492271).

10214246111641 is a wasteful number, since it uses less digits than its factorization.

10214246111641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713993 (or 1713982 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The spelling of 10214246111641 in words is "ten trillion, two hundred fourteen billion, two hundred forty-six million, one hundred eleven thousand, six hundred forty-one".