164404503114544 has 80 divisors (see below), whose sum is σ = 418034690138880. Its totient is φ = 60682455002880.

The previous prime is 164404503114529. The next prime is 164404503114557. The reversal of 164404503114544 is 445411305404461.

It is a super-3 number, since 3×164404503114544³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164404503114494 and 164404503114503.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3511692739 + ... + 3511739554.

It is an arithmetic number, because the mean of its divisors is an integer number (5225433626736).

Almost surely, 2^{164404503114544} is an apocalyptic number.

164404503114544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

164404503114544 is an abundant number, since it is smaller than the sum of its proper divisors (253630187024336).

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

164404503114544 is a wasteful number, since it uses less digits than its factorization.

164404503114544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7023432338 (or 7023432332 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 46.

The spelling of 164404503114544 in words is "one hundred sixty-four trillion, four hundred four billion, five hundred three million, one hundred fourteen thousand, five hundred forty-four".