164114976 has 48 divisors (see below), whose sum is σ = 439979904. Its totient is φ = 53539584.

The previous prime is 164114971. The next prime is 164114981. The reversal of 164114976 is 679411461.

164114976 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164114971) and next prime (164114981).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (164114971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13675 + ... + 22698.

It is an arithmetic number, because the mean of its divisors is an integer number (9166248).

Almost surely, 2^164114976 is an apocalyptic number.

164114976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164114976 is an abundant number, since it is smaller than the sum of its proper divisors (275864928).

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

164114976 is a wasteful number, since it uses less digits than its factorization.

164114976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36433 (or 36425 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 164114976 is about 12810.7367469635. The cubic root of 164114976 is about 547.4982531585.

The spelling of 164114976 in words is "one hundred sixty-four million, one hundred fourteen thousand, nine hundred seventy-six".