164406465001525 has 24 divisors (see below), whose sum is σ = 210989261463624. Its totient is φ = 126994382745600.

The previous prime is 164406465001447. The next prime is 164406465001529. The reversal of 164406465001525 is 525100564604461.

It can be written as a sum of positive squares in 12 ways, for example, as 143299047094564 + 21107417906961 = 11970758^2 + 4594281^2 .

It is not a de Polignac number, because 164406465001525 - 2⁷ = 164406465001397 is a prime.

It is a super-3 number, since 3×164406465001525³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164406465001529) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 826686922 + ... + 826885771.

It is an arithmetic number, because the mean of its divisors is an integer number (8791219227651).

Almost surely, 2^{164406465001525} is an apocalyptic number.

It is an amenable number.

164406465001525 is a deficient number, since it is larger than the sum of its proper divisors (46582796462099).

164406465001525 is a wasteful number, since it uses less digits than its factorization.

164406465001525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653572841 (or 1653572836 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 49.

The spelling of 164406465001525 in words is "one hundred sixty-four trillion, four hundred six billion, four hundred sixty-five million, one thousand, five hundred twenty-five".