1206164703744 has 1920 divisors, whose sum is σ = 4941763706880. Its totient is φ = 273118003200.

The previous prime is 1206164703703. The next prime is 1206164703769. The reversal of 1206164703744 is 4473074616021.

1206164703744 is a `hidden beast` number, since 1 + 20 + 616 + 4 + 7 + 0 + 3 + 7 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1206164703744.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9497359809 + ... + 9497359935.

It is an arithmetic number, because the mean of its divisors is an integer number (2573835264).

Almost surely, 2^{1206164703744} is an apocalyptic number.

1206164703744 is a gapful number since it is divisible by the number (14) 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 1206164703744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470881853440).

1206164703744 is an abundant number, since it is smaller than the sum of its proper divisors (3735599003136).

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

1206164703744 is a wasteful number, since it uses less digits than its factorization.

1206164703744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 1206164703744 in words is "one trillion, two hundred six billion, one hundred sixty-four million, seven hundred three thousand, seven hundred forty-four".