1483967116800 has 1080 divisors, whose sum is σ = 6222247389072. Its totient is φ = 336752640000.

The previous prime is 1483967116789. The next prime is 1483967116817. The reversal of 1483967116800 is 86117693841.

1483967116800 is a `hidden beast` number, since 1 + 483 + 9 + 6 + 71 + 16 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 852363930 + ... + 852365670.

Almost surely, 2^{1483967116800} is an apocalyptic number.

1483967116800 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 1483967116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3111123694536).

1483967116800 is an abundant number, since it is smaller than the sum of its proper divisors (4738280272272).

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

1483967116800 is a wasteful number, since it uses less digits than its factorization.

1483967116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 1483967116800 in words is "one trillion, four hundred eighty-three billion, nine hundred sixty-seven million, one hundred sixteen thousand, eight hundred".