164955398400 has 1296 divisors, whose sum is σ = 678096182400. Its totient is φ = 39414988800.

The previous prime is 164955398341. The next prime is 164955398473. The reversal of 164955398400 is 4893559461.

164955398400 is a `hidden beast` number, since 1 + 6 + 4 + 9 + 553 + 9 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×164955398400² (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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 828921501 + ... + 828921699.

Almost surely, 2^164955398400 is an apocalyptic number.

164955398400 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 164955398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339048091200).

164955398400 is an abundant number, since it is smaller than the sum of its proper divisors (513140784000).

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

164955398400 is a wasteful number, since it uses less digits than its factorization.

164955398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 164955398400 in words is "one hundred sixty-four billion, nine hundred fifty-five million, three hundred ninety-eight thousand, four hundred".