1114303768160 has 384 divisors, whose sum is σ = 3246883605504. Its totient is φ = 356292034560.

The previous prime is 1114303768157. The next prime is 1114303768199. The reversal of 1114303768160 is 618673034111.

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 63 ways as a sum of consecutive naturals, for example, 29572052 + ... + 29609708.

It is an arithmetic number, because the mean of its divisors is an integer number (8455426056).

Almost surely, 2^{1114303768160} is an apocalyptic number.

1114303768160 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 1114303768160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623441802752).

1114303768160 is an abundant number, since it is smaller than the sum of its proper divisors (2132579837344).

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

1114303768160 is a wasteful number, since it uses less digits than its factorization.

1114303768160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37766 (or 37758 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The spelling of 1114303768160 in words is "one trillion, one hundred fourteen billion, three hundred three million, seven hundred sixty-eight thousand, one hundred sixty".