164355739200 has 210 divisors, whose sum is σ = 604130831106. Its totient is φ = 43828162560.

The previous prime is 164355739193. The next prime is 164355739243. The reversal of 164355739200 is 2937553461.

164355739200 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 557 + 3 + 92 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 34963016256 + 129392722944 = 186984^2 + 359712^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 504489 + ... + 763688.

Almost surely, 2^164355739200 is an apocalyptic number.

164355739200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164355739200 is an abundant number, since it is smaller than the sum of its proper divisors (439775091906).

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

164355739200 is a wasteful number, since it uses less digits than its factorization.

164355739200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268211 (or 1268187 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 164355739200 in words is "one hundred sixty-four billion, three hundred fifty-five million, seven hundred thirty-nine thousand, two hundred".