216016121610612 has 18 divisors (see below), whose sum is σ = 546040751849138. Its totient is φ = 72005373870192.

The previous prime is 216016121610599. The next prime is 216016121610617.

216016121610612 is a `hidden beast` number, since 2 + 1 + 6 + 0 + 1 + 6 + 1 + 21 + 6 + 10 + 612 = 666.

216016121610612 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 212275750138596 + 3740371472016 = 14569686^2 + 1934004^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 6000447822517 = 216016121610612 / (2 + 1 + 6 + 0 + 1 + 6 + 1 + 2 + 1 + 6 + 1 + 0 + 6 + 1 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216016121610617) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3000223911223 + ... + 3000223911294.

Almost surely, 2^{216016121610612} is an apocalyptic number.

It is an amenable number.

216016121610612 is an abundant number, since it is smaller than the sum of its proper divisors (330024630238526).

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

216016121610612 is a wasteful number, since it uses less digits than its factorization.

216016121610612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6000447822527 (or 6000447822522 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 216016121610612 in words is "two hundred sixteen trillion, sixteen billion, one hundred twenty-one million, six hundred ten thousand, six hundred twelve".