164229120000 has 1120 divisors, whose sum is σ = 671314063860. Its totient is φ = 39813120000.

The previous prime is 164229119993. The next prime is 164229120001. The reversal of 164229120000 is 21922461.

164229120000 is a `hidden beast` number, since 1 + 642 + 2 + 9 + 12 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164229120001) by changing a digit.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 14929919995 + ... + 14929920005.

Almost surely, 2^164229120000 is an apocalyptic number.

164229120000 is a gapful number since it is divisible by the number (10) 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 164229120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335657031930).

164229120000 is an abundant number, since it is smaller than the sum of its proper divisors (507084943860).

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

164229120000 is an frugal number, since it uses more digits than its factorization.

164229120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 164229120000 in words is "one hundred sixty-four billion, two hundred twenty-nine million, one hundred twenty thousand".