1913330386800 has 1440 divisors, whose sum is σ = 8149347408384. Its totient is φ = 422019072000.

The previous prime is 1913330386769. The next prime is 1913330386817. The reversal of 1913330386800 is 86830333191.

1913330386800 is a `hidden beast` number, since 191 + 3 + 3 + 3 + 0 + 386 + 80 + 0 = 666.

It is a super-2 number, since 2×1913330386800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2984914480 + ... + 2984915120.

Almost surely, 2^{1913330386800} is an apocalyptic number.

1913330386800 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 1913330386800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4074673704192).

1913330386800 is an abundant number, since it is smaller than the sum of its proper divisors (6236017021584).

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

1913330386800 is a wasteful number, since it uses less digits than its factorization.

1913330386800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 1913330386800 in words is "one trillion, nine hundred thirteen billion, three hundred thirty million, three hundred eighty-six thousand, eight hundred".