1083892656366 has 384 divisors, whose sum is σ = 2885965632000. Its totient is φ = 300187689984.

The previous prime is 1083892656349. The next prime is 1083892656377. The reversal of 1083892656366 is 6636562983801.

1083892656366 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 8 + 9 + 2 + 6 + 563 + 66 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 275867890 + ... + 275871818.

It is an arithmetic number, because the mean of its divisors is an integer number (7515535500).

Almost surely, 2^{1083892656366} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1083892656366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442982816000).

1083892656366 is an abundant number, since it is smaller than the sum of its proper divisors (1802072975634).

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

1083892656366 is a wasteful number, since it uses less digits than its factorization.

1083892656366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4065 (or 4046 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 1083892656366 in words is "one trillion, eighty-three billion, eight hundred ninety-two million, six hundred fifty-six thousand, three hundred sixty-six".