164065411752000 has 448 divisors, whose sum is σ = 591052836411648. Its totient is φ = 39769436160000.

The previous prime is 164065411751959. The next prime is 164065411752017. The reversal of 164065411752000 is 257114560461.

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, 3279118984 + ... + 3279169016.

Almost surely, 2^{164065411752000} is an apocalyptic number.

164065411752000 is a gapful number since it is divisible by the number (10) 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 164065411752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295526418205824).

164065411752000 is an abundant number, since it is smaller than the sum of its proper divisors (426987424659648).

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

164065411752000 is a wasteful number, since it uses less digits than its factorization.

164065411752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62495 (or 62475 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 164065411752000 in words is "one hundred sixty-four trillion, sixty-five billion, four hundred eleven million, seven hundred fifty-two thousand".