1083214031328 has 288 divisors, whose sum is σ = 3622758283872. Its totient is φ = 302675558400.

The previous prime is 1083214031287. The next prime is 1083214031329. The reversal of 1083214031328 is 8231304123801.

1083214031328 is a `hidden beast` number, since 1 + 0 + 8 + 321 + 4 + 0 + 3 + 1 + 328 = 666.

1083214031328 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1083214031292 and 1083214031301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1083214031329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40223308 + ... + 40250228.

It is an arithmetic number, because the mean of its divisors is an integer number (12579021819).

Almost surely, 2^{1083214031328} is an apocalyptic number.

1083214031328 is a gapful number since it is divisible by the number (18) 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 1083214031328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811379141936).

1083214031328 is an abundant number, since it is smaller than the sum of its proper divisors (2539544252544).

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

1083214031328 is a wasteful number, since it uses less digits than its factorization.

1083214031328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27938 (or 27927 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1083214031328 in words is "one trillion, eighty-three billion, two hundred fourteen million, thirty-one thousand, three hundred twenty-eight".