164505600000 has 1440 divisors, whose sum is σ = 737210315520. Its totient is φ = 35389440000.

The previous prime is 164505599981. The next prime is 164505600019. The reversal of 164505600000 is 6505461.

It is a happy number.

164505600000 is a `hidden beast` number, since 1 + 6 + 4 + 50 + 5 + 600 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (164505599981) and next prime (164505600019).

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9676799992 + ... + 9676800008.

It is an arithmetic number, because the mean of its divisors is an integer number (511951608).

Almost surely, 2^164505600000 is an apocalyptic number.

164505600000 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 164505600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368605157760).

164505600000 is an abundant number, since it is smaller than the sum of its proper divisors (572704715520).

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

164505600000 is an frugal number, since it uses more digits than its factorization.

164505600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 164505600000 in words is "one hundred sixty-four billion, five hundred five million, six hundred thousand".