1683777077312 has 224 divisors, whose sum is σ = 3877787520000. Its totient is φ = 718026301440.

The previous prime is 1683777077291. The next prime is 1683777077351. The reversal of 1683777077312 is 2137707773861.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1087008314 + ... + 1087009862.

Almost surely, 2^{1683777077312} 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 1683777077312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938893760000).

1683777077312 is an abundant number, since it is smaller than the sum of its proper divisors (2194010442688).

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

1683777077312 is a wasteful number, since it uses less digits than its factorization.

1683777077312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3077 (or 3067 counting only the distinct ones).

The product of its (nonzero) digits is 14521248, while the sum is 59.

The spelling of 1683777077312 in words is "one trillion, six hundred eighty-three billion, seven hundred seventy-seven million, seventy-seven thousand, three hundred twelve".