164012181800 has 72 divisors (see below), whose sum is σ = 405079018410. Its totient is φ = 61745740800.

The previous prime is 164012181779. The next prime is 164012181847. The reversal of 164012181800 is 8181210461.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 10766552644 + 153245629156 = 103762^2 + 391466^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1360991 + ... + 1476590.

Almost surely, 2^164012181800 is an apocalyptic number.

164012181800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164012181800 is an abundant number, since it is smaller than the sum of its proper divisors (241066836610).

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

164012181800 is a wasteful number, since it uses less digits than its factorization.

164012181800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2837631 (or 2837605 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 32.

The spelling of 164012181800 in words is "one hundred sixty-four billion, twelve million, one hundred eighty-one thousand, eight hundred".