20164633164 has 108 divisors (see below), whose sum is σ = 58441238856. Its totient is φ = 5839501824.

The previous prime is 20164633087. The next prime is 20164633199. The reversal of 20164633164 is 46133646102.

20164633164 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 4 + 633 + 16 + 4 = 666.

It is a super-2 number, since 2×20164633164² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5947 + ... + 200909.

It is an arithmetic number, because the mean of its divisors is an integer number (541122582).

Almost surely, 2^20164633164 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 20164633164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29220619428).

20164633164 is an abundant number, since it is smaller than the sum of its proper divisors (38276605692).

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

20164633164 is a wasteful number, since it uses less digits than its factorization.

20164633164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195016 (or 194998 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 20164633164 in words is "twenty billion, one hundred sixty-four million, six hundred thirty-three thousand, one hundred sixty-four".