1083038749056 has 384 divisors, whose sum is σ = 3582204912000. Its totient is φ = 310626385920.

The previous prime is 1083038749043. The next prime is 1083038749063. The reversal of 1083038749056 is 6509478303801.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1083038749056² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1083038748993 and 1083038749011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 476478736 + ... + 476481008.

It is an arithmetic number, because the mean of its divisors is an integer number (9328658625).

Almost surely, 2^{1083038749056} is an apocalyptic number.

1083038749056 is a gapful number since it is divisible by the number (16) 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 1083038749056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791102456000).

1083038749056 is an abundant number, since it is smaller than the sum of its proper divisors (2499166162944).

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

1083038749056 is a wasteful number, since it uses less digits than its factorization.

1083038749056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4302 (or 4287 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1083038749056 in words is "one trillion, eighty-three billion, thirty-eight million, seven hundred forty-nine thousand, fifty-six".