1149030283056 has 80 divisors (see below), whose sum is σ = 3000535379040. Its totient is φ = 378861465600.

The previous prime is 1149030283043. The next prime is 1149030283069. The reversal of 1149030283056 is 6503820309411.

It is an interprime number because it is at equal distance from previous prime (1149030283043) and next prime (1149030283069).

It is a junction number, because it is equal to n+sod(n) for n = 1149030282999 and 1149030283017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5071656 + ... + 5293368.

It is an arithmetic number, because the mean of its divisors is an integer number (37506692238).

Almost surely, 2^{1149030283056} is an apocalyptic number.

1149030283056 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 1149030283056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500267689520).

1149030283056 is an abundant number, since it is smaller than the sum of its proper divisors (1851505095984).

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

1149030283056 is a wasteful number, since it uses less digits than its factorization.

1149030283056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222894 (or 222888 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 1149030283056 in words is "one trillion, one hundred forty-nine billion, thirty million, two hundred eighty-three thousand, fifty-six".