164384881140480 has 1152 divisors, whose sum is σ = 706321631232000. Its totient is φ = 31466812538880.

The previous prime is 164384881140479. The next prime is 164384881140527. The reversal of 164384881140480 is 84041188483461.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1918033309 + ... + 1918119011.

It is an arithmetic number, because the mean of its divisors is an integer number (613126416000).

Almost surely, 2^{164384881140480} is an apocalyptic number.

164384881140480 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 164384881140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353160815616000).

164384881140480 is an abundant number, since it is smaller than the sum of its proper divisors (541936750091520).

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

164384881140480 is a wasteful number, since it uses less digits than its factorization.

164384881140480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86257 (or 86243 counting only the distinct ones).

The product of its (nonzero) digits is 18874368, while the sum is 60.

The spelling of 164384881140480 in words is "one hundred sixty-four trillion, three hundred eighty-four billion, eight hundred eighty-one million, one hundred forty thousand, four hundred eighty".