1683394560144 has 160 divisors (see below), whose sum is σ = 5272331834880. Its totient is φ = 510013468800.

The previous prime is 1683394560131. The next prime is 1683394560161. The reversal of 1683394560144 is 4410654933861.

It is a happy number.

1683394560144 is a `hidden beast` number, since 1 + 6 + 8 + 3 + 39 + 4 + 560 + 1 + 44 = 666.

It is a super-2 number, since 2×1683394560144² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24538339 + ... + 24606845.

It is an arithmetic number, because the mean of its divisors is an integer number (32952073968).

Almost surely, 2^{1683394560144} 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 1683394560144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2636165917440).

1683394560144 is an abundant number, since it is smaller than the sum of its proper divisors (3588937274736).

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

1683394560144 is a wasteful number, since it uses less digits than its factorization.

1683394560144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73706 (or 73694 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 1683394560144 in words is "one trillion, six hundred eighty-three billion, three hundred ninety-four million, five hundred sixty thousand, one hundred forty-four".