164002745088 has 1296 divisors, whose sum is σ = 642070927680. Its totient is φ = 40633270272.

The previous prime is 164002745009. The next prime is 164002745119. The reversal of 164002745088 is 880547200461.

It is a tau number, because it is divible by the number of its divisors (1296).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4432506606 + ... + 4432506642.

Almost surely, 2^164002745088 is an apocalyptic number.

164002745088 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 164002745088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321035463840).

164002745088 is an abundant number, since it is smaller than the sum of its proper divisors (478068182592).

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

164002745088 is an frugal number, since it uses more digits than its factorization.

164002745088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 164002745088 in words is "one hundred sixty-four billion, two million, seven hundred forty-five thousand, eighty-eight".