164388707712 has 512 divisors, whose sum is σ = 532440000000. Its totient is φ = 49732558848.

The previous prime is 164388707699. The next prime is 164388707761. The reversal of 164388707712 is 217707883461.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 329436039 + ... + 329436537.

It is an arithmetic number, because the mean of its divisors is an integer number (1039921875).

Almost surely, 2^164388707712 is an apocalyptic number.

164388707712 is a gapful number since it is divisible by the number (12) 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 164388707712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266220000000).

164388707712 is an abundant number, since it is smaller than the sum of its proper divisors (368051292288).

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

164388707712 is a wasteful number, since it uses less digits than its factorization.

164388707712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 164388707712 in words is "one hundred sixty-four billion, three hundred eighty-eight million, seven hundred seven thousand, seven hundred twelve".