164345631715188 has 576 divisors, whose sum is σ = 523976803983360. Its totient is φ = 42192835200000.

The previous prime is 164345631715123. The next prime is 164345631715231. The reversal of 164345631715188 is 881517136543461.

164345631715188 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 4 + 563 + 17 + 1 + 51 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 139158027958 + ... + 139158029138.

It is an arithmetic number, because the mean of its divisors is an integer number (909681951360).

Almost surely, 2^{164345631715188} is an apocalyptic number.

164345631715188 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 164345631715188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261988401991680).

164345631715188 is an abundant number, since it is smaller than the sum of its proper divisors (359631172268172).

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

164345631715188 is a wasteful number, since it uses less digits than its factorization.

164345631715188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2740 (or 2735 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 164345631715188 in words is "one hundred sixty-four trillion, three hundred forty-five billion, six hundred thirty-one million, seven hundred fifteen thousand, one hundred eighty-eight".