16561267164 has 288 divisors, whose sum is σ = 47754330624. Its totient is φ = 4805982720.

The previous prime is 16561267159. The next prime is 16561267169. The reversal of 16561267164 is 46176216561.

16561267164 is a `hidden beast` number, since 1 + 6 + 561 + 26 + 7 + 1 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (16561267159) and next prime (16561267169).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16561267169) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95729782 + ... + 95729954.

It is an arithmetic number, because the mean of its divisors is an integer number (165813648).

Almost surely, 2^16561267164 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 16561267164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23877165312).

16561267164 is an abundant number, since it is smaller than the sum of its proper divisors (31193063460).

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

16561267164 is a wasteful number, since it uses less digits than its factorization.

16561267164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 372 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 16561267164 in words is "sixteen billion, five hundred sixty-one million, two hundred sixty-seven thousand, one hundred sixty-four".