164413793376 has 144 divisors (see below), whose sum is σ = 543401913600. Its totient is φ = 46179143424.

The previous prime is 164413793371. The next prime is 164413793381. The reversal of 164413793376 is 673397314461.

164413793376 is a `hidden beast` number, since 1 + 64 + 413 + 79 + 33 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (164413793371) and next prime (164413793381).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×164413793376³ (a number of 35 digits) contains 333 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 (164413793371) 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 23 ways as a sum of consecutive naturals, for example, 572196 + ... + 810083.

It is an arithmetic number, because the mean of its divisors is an integer number (3773624400).

Almost surely, 2^164413793376 is an apocalyptic number.

164413793376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164413793376 is an abundant number, since it is smaller than the sum of its proper divisors (378988120224).

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

164413793376 is a wasteful number, since it uses less digits than its factorization.

164413793376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382361 (or 1382350 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 54.

The spelling of 164413793376 in words is "one hundred sixty-four billion, four hundred thirteen million, seven hundred ninety-three thousand, three hundred seventy-six".