32216145176646 has 192 divisors, whose sum is σ = 77201603781120. Its totient is φ = 10046942231040.

The previous prime is 32216145176641. The next prime is 32216145176681. The reversal of 32216145176646 is 64667154161223.

32216145176646 is a `hidden beast` number, since 3 + 2 + 2 + 1 + 61 + 4 + 517 + 6 + 64 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 32216145176592 and 32216145176601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32216145176641) 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, 121920606 + ... + 122184558.

It is an arithmetic number, because the mean of its divisors is an integer number (402091686360).

Almost surely, 2^{32216145176646} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32216145176646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38600801890560).

32216145176646 is an abundant number, since it is smaller than the sum of its proper divisors (44985458604474).

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

32216145176646 is a wasteful number, since it uses less digits than its factorization.

32216145176646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264233 (or 264221 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 32216145176646 in words is "thirty-two trillion, two hundred sixteen billion, one hundred forty-five million, one hundred seventy-six thousand, six hundred forty-six".