216453363354612 has 96 divisors (see below), whose sum is σ = 576500532988800. Its totient is φ = 70181815965696.

The previous prime is 216453363354587. The next prime is 216453363354617.

It is a happy number.

216453363354612 is a `hidden beast` number, since 2 + 1 + 6 + 4 + 5 + 33 + 63 + 3 + 546 + 1 + 2 = 666.

216453363354612 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216453363354617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7122964 + ... + 21991892.

It is an arithmetic number, because the mean of its divisors is an integer number (6005213885300).

Almost surely, 2^{216453363354612} 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 216453363354612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288250266494400).

216453363354612 is an abundant number, since it is smaller than the sum of its proper divisors (360047169634188).

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

216453363354612 is a wasteful number, since it uses less digits than its factorization.

216453363354612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14872622 (or 14872614 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 54.

The spelling of 216453363354612 in words is "two hundred sixteen trillion, four hundred fifty-three billion, three hundred sixty-three million, three hundred fifty-four thousand, six hundred twelve".