164413223400 has 96 divisors (see below), whose sum is σ = 509868928800. Its totient is φ = 43827360000.

The previous prime is 164413223389. The next prime is 164413223407. The reversal of 164413223400 is 4322314461.

164413223400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×164413223400³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (164413223407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1624275 + ... + 1722525.

It is an arithmetic number, because the mean of its divisors is an integer number (5311134675).

Almost surely, 2^164413223400 is an apocalyptic number.

164413223400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164413223400 is an abundant number, since it is smaller than the sum of its proper divisors (345455705400).

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

164413223400 is a wasteful number, since it uses less digits than its factorization.

164413223400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101059 (or 101050 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 164413223400 its reverse (4322314461), we get a palindrome (168735537861).

The spelling of 164413223400 in words is "one hundred sixty-four billion, four hundred thirteen million, two hundred twenty-three thousand, four hundred".