201461100417 has 48 divisors (see below), whose sum is σ = 307088221440. Its totient is φ = 127016626176.

The previous prime is 201461100403. The next prime is 201461100419. The reversal of 201461100417 is 714001164102.

201461100417 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 611 + 0 + 0 + 41 + 7 = 666.

It is not a de Polignac number, because 201461100417 - 2¹² = 201461096321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201461100419) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 22664748 + ... + 22673634.

It is an arithmetic number, because the mean of its divisors is an integer number (6397671280).

Almost surely, 2^201461100417 is an apocalyptic number.

It is an amenable number.

201461100417 is a deficient number, since it is larger than the sum of its proper divisors (105627121023).

201461100417 is a wasteful number, since it uses less digits than its factorization.

201461100417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10142 (or 10139 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 201461100417 its reverse (714001164102), we get a palindrome (915462264519).

The spelling of 201461100417 in words is "two hundred one billion, four hundred sixty-one million, one hundred thousand, four hundred seventeen".