164054143890 has 384 divisors, whose sum is σ = 535750225920. Its totient is φ = 33907382784.

The previous prime is 164054143889. The next prime is 164054143943. The reversal of 164054143890 is 98341450461.

164054143890 is a `hidden beast` number, since 1 + 64 + 0 + 541 + 43 + 8 + 9 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 225658707 + ... + 225659433.

It is an arithmetic number, because the mean of its divisors is an integer number (1395182880).

Almost surely, 2^164054143890 is an apocalyptic number.

164054143890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164054143890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267875112960).

164054143890 is an abundant number, since it is smaller than the sum of its proper divisors (371696082030).

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

164054143890 is a wasteful number, since it uses less digits than its factorization.

164054143890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 164054143890 in words is "one hundred sixty-four billion, fifty-four million, one hundred forty-three thousand, eight hundred ninety".