201461100416 has 64 divisors (see below), whose sum is σ = 412845824160. Its totient is φ = 97865318400.

The previous prime is 201461100403. The next prime is 201461100419. The reversal of 201461100416 is 614001164102.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1185125 + ... + 1344411.

Almost surely, 2^201461100416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201461100416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206422912080).

201461100416 is an abundant number, since it is smaller than the sum of its proper divisors (211384723744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201461100416 is a wasteful number, since it uses less digits than its factorization.

201461100416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159583 (or 159571 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 201461100416 its reverse (614001164102), we get a palindrome (815462264518).

The spelling of 201461100416 in words is "two hundred one billion, four hundred sixty-one million, one hundred thousand, four hundred sixteen".