164075681430 has 64 divisors (see below), whose sum is σ = 440471736000. Its totient is φ = 43459856640.

The previous prime is 164075681411. The next prime is 164075681431. The reversal of 164075681430 is 34186570461.

164075681430 is a `hidden beast` number, since 1 + 6 + 40 + 7 + 568 + 1 + 43 + 0 = 666.

164075681430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164075681431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1998991 + ... + 2079450.

It is an arithmetic number, because the mean of its divisors is an integer number (6882370875).

Almost surely, 2^164075681430 is an apocalyptic number.

164075681430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

164075681430 is an abundant number, since it is smaller than the sum of its proper divisors (276396054570).

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

164075681430 is a wasteful number, since it uses less digits than its factorization.

164075681430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4078606 (or 4078600 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 164075681430 in words is "one hundred sixty-four billion, seventy-five million, six hundred eighty-one thousand, four hundred thirty".