1083114336960 has 672 divisors, whose sum is σ = 3991056076800. Its totient is φ = 269007298560.

The previous prime is 1083114336937. The next prime is 1083114337007. The reversal of 1083114336960 is 696334113801.

It is a happy number.

1083114336960 is a `hidden beast` number, since 10 + 83 + 1 + 143 + 369 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 1260901011 + ... + 1260901869.

Almost surely, 2^{1083114336960} is an apocalyptic number.

1083114336960 is a gapful number since it is divisible by the number (10) 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 1083114336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995528038400).

1083114336960 is an abundant number, since it is smaller than the sum of its proper divisors (2907941739840).

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

1083114336960 is a wasteful number, since it uses less digits than its factorization.

1083114336960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 1083114336960 in words is "one trillion, eighty-three billion, one hundred fourteen million, three hundred thirty-six thousand, nine hundred sixty".