164404125211445 has 24 divisors (see below), whose sum is σ = 229628088283608. Its totient is φ = 112668751910400.

The previous prime is 164404125211423. The next prime is 164404125211523. The reversal of 164404125211445 is 544112521404461.

It can be written as a sum of positive squares in 4 ways, for example, as 32844739247089 + 131559385964356 = 5731033^2 + 11469934^2 .

It is not a de Polignac number, because 164404125211445 - 2¹² = 164404125207349 is a prime.

It is a super-3 number, since 3×164404125211445³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164404125211396 and 164404125211405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194533976 + ... + 195377265.

It is an arithmetic number, because the mean of its divisors is an integer number (9567837011817).

Almost surely, 2^{164404125211445} is an apocalyptic number.

It is an amenable number.

164404125211445 is a deficient number, since it is larger than the sum of its proper divisors (65223963072163).

164404125211445 is a wasteful number, since it uses less digits than its factorization.

164404125211445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389912981 (or 389912974 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 44.

The spelling of 164404125211445 in words is "one hundred sixty-four trillion, four hundred four billion, one hundred twenty-five million, two hundred eleven thousand, four hundred forty-five".