164186838466560 has 4284 divisors, whose sum is σ = 753153080346072. Its totient is φ = 34224249765888.

The previous prime is 164186838466421. The next prime is 164186838466589. The reversal of 164186838466560 is 65664838681461.

It is a happy number.

164186838466560 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 86 + 8 + 38 + 466 + 56 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 1978154680279 + ... + 1978154680361.

Almost surely, 2^{164186838466560} is an apocalyptic number.

164186838466560 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 164186838466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376576540173036).

164186838466560 is an abundant number, since it is smaller than the sum of its proper divisors (588966241879512).

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

164186838466560 is an frugal number, since it uses more digits than its factorization.

164186838466560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 955514880, while the sum is 72.

The spelling of 164186838466560 in words is "one hundred sixty-four trillion, one hundred eighty-six billion, eight hundred thirty-eight million, four hundred sixty-six thousand, five hundred sixty".