164312225104450 has 192 divisors, whose sum is σ = 329764278235392. Its totient is φ = 60756783718400.

The previous prime is 164312225104219. The next prime is 164312225104487. The reversal of 164312225104450 is 54401522213461.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10639908429 + ... + 10639923871.

It is an arithmetic number, because the mean of its divisors is an integer number (1717522282476).

Almost surely, 2^{164312225104450} is an apocalyptic number.

164312225104450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

164312225104450 is an abundant number, since it is smaller than the sum of its proper divisors (165452053130942).

164312225104450 is a wasteful number, since it uses less digits than its factorization.

164312225104450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17629 (or 17624 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 164312225104450 in words is "one hundred sixty-four trillion, three hundred twelve billion, two hundred twenty-five million, one hundred four thousand, four hundred fifty".