164988316800 has 960 divisors, whose sum is σ = 633313438560. Its totient is φ = 42268262400.

The previous prime is 164988316783. The next prime is 164988316813. The reversal of 164988316800 is 8613889461.

164988316800 is a `hidden beast` number, since 16 + 498 + 83 + 1 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×164988316800² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1259452735 + ... + 1259452865.

Almost surely, 2^164988316800 is an apocalyptic number.

164988316800 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 164988316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316656719280).

164988316800 is an abundant number, since it is smaller than the sum of its proper divisors (468325121760).

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

164988316800 is a wasteful number, since it uses less digits than its factorization.

164988316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 164988316800 in words is "one hundred sixty-four billion, nine hundred eighty-eight million, three hundred sixteen thousand, eight hundred".