164030027817516 has 192 divisors, whose sum is σ = 469252327391232. Its totient is φ = 43571389010688.

The previous prime is 164030027817511. The next prime is 164030027817583. The reversal of 164030027817516 is 615718720030461.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (164030027817511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67938555 + ... + 70311501.

It is an arithmetic number, because the mean of its divisors is an integer number (2444022538496).

Almost surely, 2^{164030027817516} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164030027817516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234626163695616).

164030027817516 is an abundant number, since it is smaller than the sum of its proper divisors (305222299573716).

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

164030027817516 is a wasteful number, since it uses less digits than its factorization.

164030027817516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2373988 (or 2373986 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

Adding to 164030027817516 its reverse (615718720030461), we get a palindrome (779748747847977).

The spelling of 164030027817516 in words is "one hundred sixty-four trillion, thirty billion, twenty-seven million, eight hundred seventeen thousand, five hundred sixteen".