164500312203612 has 288 divisors, whose sum is σ = 524077937510400. Its totient is φ = 42262311168000.

The previous prime is 164500312203559. The next prime is 164500312203641. The reversal of 164500312203612 is 216302213005461.

164500312203612 is a `hidden beast` number, since 1 + 6 + 4 + 5 + 0 + 0 + 3 + 12 + 20 + 3 + 612 = 666.

164500312203612 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 282200589 + ... + 282782907.

It is an arithmetic number, because the mean of its divisors is an integer number (1819715060800).

Almost surely, 2^{164500312203612} is an apocalyptic number.

164500312203612 is a gapful number since it is divisible by the number (12) 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 164500312203612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262038968755200).

164500312203612 is an abundant number, since it is smaller than the sum of its proper divisors (359577625306788).

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

164500312203612 is a wasteful number, since it uses less digits than its factorization.

164500312203612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583457 (or 583452 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 164500312203612 in words is "one hundred sixty-four trillion, five hundred billion, three hundred twelve million, two hundred three thousand, six hundred twelve".