216107541252 has 36 divisors (see below), whose sum is σ = 546591640140. Its totient is φ = 71993675712.

The previous prime is 216107541227. The next prime is 216107541257. The reversal of 216107541252 is 252145701612.

216107541252 is a `hidden beast` number, since 2 + 1 + 6 + 107 + 541 + 2 + 5 + 2 = 666.

216107541252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 34304225796 + 181803315456 = 185214^2 + 426384^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (216107541257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1694763 + ... + 1817810.

It is an arithmetic number, because the mean of its divisors is an integer number (15183101115).

Almost surely, 2^216107541252 is an apocalyptic number.

It is an amenable number.

216107541252 is an abundant number, since it is smaller than the sum of its proper divisors (330484098888).

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

216107541252 is a wasteful number, since it uses less digits than its factorization.

216107541252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3514292 (or 3514287 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 216107541252 in words is "two hundred sixteen billion, one hundred seven million, five hundred forty-one thousand, two hundred fifty-two".