164508110807040 has 5376 divisors, whose sum is σ = 805256410742784. Its totient is φ = 29964946636800.

The previous prime is 164508110807017. The next prime is 164508110807077. The reversal of 164508110807040 is 40708011805461.

164508110807040 is a `hidden beast` number, since 1 + 6 + 450 + 8 + 1 + 10 + 80 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a super-2 number, since 2×164508110807040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 835066552222 + ... + 835066552418.

It is an arithmetic number, because the mean of its divisors is an integer number (149787278784).

Almost surely, 2^{164508110807040} is an apocalyptic number.

164508110807040 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 164508110807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402628205371392).

164508110807040 is an abundant number, since it is smaller than the sum of its proper divisors (640748299935744).

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

164508110807040 is a wasteful number, since it uses less digits than its factorization.

164508110807040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 164508110807040 in words is "one hundred sixty-four trillion, five hundred eight billion, one hundred ten million, eight hundred seven thousand, forty".