164418048 has 120 divisors (see below), whose sum is σ = 490254336. Its totient is φ = 52992000.

The previous prime is 164418041. The next prime is 164418049. The reversal of 164418048 is 840814461.

164418048 is a `hidden beast` number, since 1 + 644 + 1 + 8 + 0 + 4 + 8 = 666.

It is a super-3 number, since 3×164418048³ (a number of 26 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164418041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142273 + ... + 143423.

Almost surely, 2^164418048 is an apocalyptic number.

164418048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164418048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245127168).

164418048 is an abundant number, since it is smaller than the sum of its proper divisors (325836288).

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

164418048 is a wasteful number, since it uses less digits than its factorization.

164418048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 164418048 is about 12822.5601187906. The cubic root of 164418048 is about 547.8350685569.

The spelling of 164418048 in words is "one hundred sixty-four million, four hundred eighteen thousand, forty-eight".