164194849713888 has 576 divisors, whose sum is σ = 557346631016448. Its totient is φ = 46578355084800.

The previous prime is 164194849713883. The next prime is 164194849713893. The reversal of 164194849713888 is 888317948491461.

It is a happy number.

164194849713888 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 9 + 48 + 497 + 1 + 3 + 8 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (164194849713883) and next prime (164194849713893).

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (81).

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 (164194849713883) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21756303331 + ... + 21756310877.

It is an arithmetic number, because the mean of its divisors is an integer number (967615678848).

Almost surely, 2^{164194849713888} is an apocalyptic number.

164194849713888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164194849713888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278673315508224).

164194849713888 is an abundant number, since it is smaller than the sum of its proper divisors (393151781302560).

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

164194849713888 is a wasteful number, since it uses less digits than its factorization.

164194849713888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10377 (or 10357 counting only the distinct ones).

The product of its digits is 2675441664, while the sum is 81.

The spelling of 164194849713888 in words is "one hundred sixty-four trillion, one hundred ninety-four billion, eight hundred forty-nine million, seven hundred thirteen thousand, eight hundred eighty-eight".