16122165696 has 896 divisors, whose sum is σ = 63823656960. Its totient is φ = 3869835264.

The previous prime is 16122165667. The next prime is 16122165701. The reversal of 16122165696 is 69656122161.

16122165696 is a `hidden beast` number, since 1 + 61 + 2 + 21 + 6 + 569 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 98908911 + ... + 98909073.

It is an arithmetic number, because the mean of its divisors is an integer number (71231760).

Almost surely, 2^16122165696 is an apocalyptic number.

16122165696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16122165696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31911828480).

16122165696 is an abundant number, since it is smaller than the sum of its proper divisors (47701491264).

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

16122165696 is a wasteful number, since it uses less digits than its factorization.

16122165696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 242 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The spelling of 16122165696 in words is "sixteen billion, one hundred twenty-two million, one hundred sixty-five thousand, six hundred ninety-six".