164885220864000 has 1664 divisors, whose sum is σ = 750325082357760. Its totient is φ = 34788704256000.

The previous prime is 164885220863989. The next prime is 164885220864043. The reversal of 164885220864000 is 468022588461.

164885220864000 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 8 + 5 + 220 + 8 + 6 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1257918465 + ... + 1258049535.

It is an arithmetic number, because the mean of its divisors is an integer number (450916515840).

Almost surely, 2^{164885220864000} is an apocalyptic number.

164885220864000 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 164885220864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375162541178880).

164885220864000 is an abundant number, since it is smaller than the sum of its proper divisors (585439861493760).

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

164885220864000 is a wasteful number, since it uses less digits than its factorization.

164885220864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131139 (or 131101 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 164885220864000 in words is "one hundred sixty-four trillion, eight hundred eighty-five billion, two hundred twenty million, eight hundred sixty-four thousand".