164346511341420 has 144 divisors (see below), whose sum is σ = 527980975861248. Its totient is φ = 42893273822400.

The previous prime is 164346511341407. The next prime is 164346511341437. The reversal of 164346511341420 is 24143115643461.

164346511341420 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 46 + 51 + 134 + 1 + 420 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359517906 + ... + 359974745.

It is an arithmetic number, because the mean of its divisors is an integer number (3666534554592).

Almost surely, 2^{164346511341420} is an apocalyptic number.

164346511341420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164346511341420 is an abundant number, since it is smaller than the sum of its proper divisors (363634464519828).

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

164346511341420 is a wasteful number, since it uses less digits than its factorization.

164346511341420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719492722 (or 719492708 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

Adding to 164346511341420 its reverse (24143115643461), we get a palindrome (188489626984881).

The spelling of 164346511341420 in words is "one hundred sixty-four trillion, three hundred forty-six billion, five hundred eleven million, three hundred forty-one thousand, four hundred twenty".