164316607290 has 336 divisors, whose sum is σ = 492190360200. Its totient is φ = 39445781760.

The previous prime is 164316607283. The next prime is 164316607297. The reversal of 164316607290 is 92706613461.

164316607290 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 16 + 607 + 29 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (164316607283) and next prime (164316607297).

It can be written as a sum of positive squares in 4 ways, for example, as 122198485761 + 42118121529 = 349569^2 + 205227^2 .

It is a super-2 number, since 2×164316607290² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (164316607297) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 96146956 + ... + 96148664.

Almost surely, 2^164316607290 is an apocalyptic number.

164316607290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164316607290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246095180100).

164316607290 is an abundant number, since it is smaller than the sum of its proper divisors (327873752910).

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

164316607290 is a wasteful number, since it uses less digits than its factorization.

164316607290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 164316607290 in words is "one hundred sixty-four billion, three hundred sixteen million, six hundred seven thousand, two hundred ninety".