164514248145 has 48 divisors (see below), whose sum is σ = 307883131920. Its totient is φ = 80783313408.

The previous prime is 164514248137. The next prime is 164514248149. The reversal of 164514248145 is 541842415461.

164514248145 is a `hidden beast` number, since 1 + 64 + 51 + 424 + 81 + 45 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 28317821841 + 136196426304 = 168279^2 + 369048^2 .

It is not a de Polignac number, because 164514248145 - 2³ = 164514248137 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 164514248145.

It is not an unprimeable number, because it can be changed into a prime (164514248149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133902 + ... + 589031.

It is an arithmetic number, because the mean of its divisors is an integer number (6414231915).

Almost surely, 2^164514248145 is an apocalyptic number.

164514248145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164514248145 is a deficient number, since it is larger than the sum of its proper divisors (143368883775).

164514248145 is a wasteful number, since it uses less digits than its factorization.

164514248145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723346 (or 723343 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The spelling of 164514248145 in words is "one hundred sixty-four billion, five hundred fourteen million, two hundred forty-eight thousand, one hundred forty-five".