164178124992 has 896 divisors, whose sum is σ = 590088898560. Its totient is φ = 44341862400.

The previous prime is 164178124949. The next prime is 164178125009. The reversal of 164178124992 is 299421871461.

164178124992 is a `hidden beast` number, since 1 + 64 + 17 + 81 + 2 + 499 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2450419743 + ... + 2450419809.

It is an arithmetic number, because the mean of its divisors is an integer number (658581360).

Almost surely, 2^164178124992 is an apocalyptic number.

164178124992 is a gapful number since it is divisible by the number (12) 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 164178124992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295044449280).

164178124992 is an abundant number, since it is smaller than the sum of its proper divisors (425910773568).

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

164178124992 is an frugal number, since it uses more digits than its factorization.

164178124992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 181 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 164178124992 in words is "one hundred sixty-four billion, one hundred seventy-eight million, one hundred twenty-four thousand, nine hundred ninety-two".