10216456164 has 18 divisors (see below), whose sum is σ = 25824930950. Its totient is φ = 3405485376.

The previous prime is 10216456157. The next prime is 10216456189. The reversal of 10216456164 is 46165461201.

10216456164 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 645 + 6 + 1 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5593544100 + 4622912064 = 74790^2 + 67992^2 .

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: 283790449 = 10216456164 / (1 + 0 + 2 + 1 + 6 + 4 + 5 + 6 + 1 + 6 + 4).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 141895189 + ... + 141895260.

Almost surely, 2^10216456164 is an apocalyptic number.

It is an amenable number.

10216456164 is an abundant number, since it is smaller than the sum of its proper divisors (15608474786).

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

10216456164 is a wasteful number, since it uses less digits than its factorization.

10216456164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283790459 (or 283790454 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10216456164 in words is "ten billion, two hundred sixteen million, four hundred fifty-six thousand, one hundred sixty-four".