164118656000000 has 1568 divisors, whose sum is σ = 483804275976000. Its totient is φ = 55119052800000.

The previous prime is 164118655999973. The next prime is 164118656000041. The reversal of 164118656000000 is 656811461.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 916863999911 + ... + 916864000089.

Almost surely, 2^{164118656000000} is an apocalyptic number.

164118656000000 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 164118656000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241902137988000).

164118656000000 is an abundant number, since it is smaller than the sum of its proper divisors (319685619976000).

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

164118656000000 is an frugal number, since it uses more digits than its factorization.

164118656000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The spelling of 164118656000000 in words is "one hundred sixty-four trillion, one hundred eighteen billion, six hundred fifty-six million", and thus it is an aban number.