1949946206208 has 1152 divisors, whose sum is σ = 7268914598400. Its totient is φ = 451398205440.

The previous prime is 1949946206161. The next prime is 1949946206227. The reversal of 1949946206208 is 8026026499491.

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, 67239524338 + ... + 67239524366.

It is an arithmetic number, because the mean of its divisors is an integer number (6309821700).

Almost surely, 2^{1949946206208} 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 1949946206208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3634457299200).

1949946206208 is an abundant number, since it is smaller than the sum of its proper divisors (5318968392192).

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

1949946206208 is an equidigital number, since it uses as much as digits as its factorization.

1949946206208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 60.

The spelling of 1949946206208 in words is "one trillion, nine hundred forty-nine billion, nine hundred forty-six million, two hundred six thousand, two hundred eight".