1946286672000 has 512 divisors, whose sum is σ = 7061995100160. Its totient is φ = 470251008000.

The previous prime is 1946286671977. The next prime is 1946286672037. The reversal of 1946286672000 is 2766826491.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 162089997 + ... + 162102003.

It is an arithmetic number, because the mean of its divisors is an integer number (13792959180).

Almost surely, 2^{1946286672000} is an apocalyptic number.

1946286672000 is a gapful number since it is divisible by the number (10) 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 1946286672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3530997550080).

1946286672000 is an abundant number, since it is smaller than the sum of its proper divisors (5115708428160).

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

1946286672000 is a wasteful number, since it uses less digits than its factorization.

1946286672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12357 (or 12335 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 1946286672000 in words is "one trillion, nine hundred forty-six billion, two hundred eighty-six million, six hundred seventy-two thousand".