164963136312 has 48 divisors (see below), whose sum is σ = 481142483640. Its totient is φ = 50757887808.

The previous prime is 164963136311. The next prime is 164963136323. The reversal of 164963136312 is 213631369461.

It is a happy number.

164963136312 is a `hidden beast` number, since 1 + 6 + 4 + 9 + 6 + 3 + 1 + 3 + 631 + 2 = 666.

It is a super-2 number, since 2×164963136312² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164963136311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88120398 + ... + 88122269.

Almost surely, 2^164963136312 is an apocalyptic number.

164963136312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164963136312 is an abundant number, since it is smaller than the sum of its proper divisors (316179347328).

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

164963136312 is a wasteful number, since it uses less digits than its factorization.

164963136312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176242692 (or 176242685 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The spelling of 164963136312 in words is "one hundred sixty-four billion, nine hundred sixty-three million, one hundred thirty-six thousand, three hundred twelve".