164118108000 has 1152 divisors, whose sum is σ = 688321041408. Its totient is φ = 33454080000.

The previous prime is 164118107971. The next prime is 164118108029. The reversal of 164118108000 is 801811461.

It is an interprime number because it is at equal distance from previous prime (164118107971) and next prime (164118108029).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 680987880 + ... + 680988120.

It is an arithmetic number, because the mean of its divisors is an integer number (597500904).

Almost surely, 2^164118108000 is an apocalyptic number.

164118108000 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 164118108000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344160520704).

164118108000 is an abundant number, since it is smaller than the sum of its proper divisors (524202933408).

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

164118108000 is a wasteful number, since it uses less digits than its factorization.

164118108000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 30.

Adding to 164118108000 its reverse (801811461), we get a palindrome (164919919461).

The spelling of 164118108000 in words is "one hundred sixty-four billion, one hundred eighteen million, one hundred eight thousand".