16216132106832 has 240 divisors, whose sum is σ = 49428093096000. Its totient is φ = 4566991693824.

The previous prime is 16216132106831. The next prime is 16216132106869. The reversal of 16216132106832 is 23860123161261.

It is a super-2 number, since 2×16216132106832² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16216132106831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 297521919 + ... + 297576417.

It is an arithmetic number, because the mean of its divisors is an integer number (205950387900).

Almost surely, 2^{16216132106832} is an apocalyptic number.

16216132106832 is a gapful number since it is divisible by the number (12) 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 16216132106832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24714046548000).

16216132106832 is an abundant number, since it is smaller than the sum of its proper divisors (33211960989168).

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

16216132106832 is a wasteful number, since it uses less digits than its factorization.

16216132106832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56330 (or 56317 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 16216132106832 in words is "sixteen trillion, two hundred sixteen billion, one hundred thirty-two million, one hundred six thousand, eight hundred thirty-two".