1683349113600 has 1296 divisors, whose sum is σ = 7528409650944. Its totient is φ = 348622848000.

The previous prime is 1683349113571. The next prime is 1683349113637. The reversal of 1683349113600 is 63119433861.

It is a happy number.

1683349113600 is a `hidden beast` number, since 1 + 6 + 8 + 3 + 34 + 9 + 1 + 1 + 3 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2177682814 + ... + 2177683586.

It is an arithmetic number, because the mean of its divisors is an integer number (5808958064).

Almost surely, 2^{1683349113600} is an apocalyptic number.

1683349113600 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 1683349113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764204825472).

1683349113600 is an abundant number, since it is smaller than the sum of its proper divisors (5845060537344).

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

1683349113600 is a wasteful number, since it uses less digits than its factorization.

1683349113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1292 counting only the distinct ones).

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

The spelling of 1683349113600 in words is "one trillion, six hundred eighty-three billion, three hundred forty-nine million, one hundred thirteen thousand, six hundred".