1206385311744 has 544 divisors, whose sum is σ = 3817626374400. Its totient is φ = 380103819264.

The previous prime is 1206385311731. The next prime is 1206385311757. The reversal of 1206385311744 is 4471135836021.

1206385311744 is a `hidden beast` number, since 1 + 2 + 0 + 63 + 8 + 531 + 17 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (1206385311731) and next prime (1206385311757).

It is a self number, because there is not a number n which added to its sum of digits gives 1206385311744.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2723217187 + ... + 2723217629.

Almost surely, 2^{1206385311744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1206385311744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908813187200).

1206385311744 is an abundant number, since it is smaller than the sum of its proper divisors (2611241062656).

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

1206385311744 is an frugal number, since it uses more digits than its factorization.

1206385311744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1206385311744 in words is "one trillion, two hundred six billion, three hundred eighty-five million, three hundred eleven thousand, seven hundred forty-four".