164809015196280 has 768 divisors, whose sum is σ = 657277242854400. Its totient is φ = 32697259499520.

The previous prime is 164809015196249. The next prime is 164809015196281. The reversal of 164809015196280 is 82691510908461.

It is a super-2 number, since 2×164809015196280² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164809015196281) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 102934660 + ... + 104523500.

It is an arithmetic number, because the mean of its divisors is an integer number (855829743300).

Almost surely, 2^{164809015196280} is an apocalyptic number.

164809015196280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164809015196280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328638621427200).

164809015196280 is an abundant number, since it is smaller than the sum of its proper divisors (492468227658120).

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

164809015196280 is a wasteful number, since it uses less digits than its factorization.

164809015196280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588964 (or 1588953 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 60.

The spelling of 164809015196280 in words is "one hundred sixty-four trillion, eight hundred nine billion, fifteen million, one hundred ninety-six thousand, two hundred eighty".