4223617164000 has 288 divisors, whose sum is σ = 16142666589504. Its totient is φ = 1039659494400.

The previous prime is 4223617163957. The next prime is 4223617164037. The reversal of 4223617164000 is 4617163224.

4223617164000 is a `hidden beast` number, since 4 + 2 + 2 + 3 + 6 + 1 + 7 + 1 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4044412 + ... + 4980411.

It is an arithmetic number, because the mean of its divisors is an integer number (56050925658).

Almost surely, 2^{4223617164000} is an apocalyptic number.

4223617164000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4223617164000 is an abundant number, since it is smaller than the sum of its proper divisors (11919049425504).

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

4223617164000 is a wasteful number, since it uses less digits than its factorization.

4223617164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9024867 (or 9024846 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 4223617164000 in words is "four trillion, two hundred twenty-three billion, six hundred seventeen million, one hundred sixty-four thousand".