1114058160000 has 1920 divisors, whose sum is σ = 4533468825600. Its totient is φ = 261273600000.

The previous prime is 1114058159993. The next prime is 1114058160053. The reversal of 1114058160000 is 618504111.

1114058160000 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 0 + 58 + 1 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×1114058160000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 15690959965 + ... + 15690960035.

It is an arithmetic number, because the mean of its divisors is an integer number (2361181680).

Almost surely, 2^{1114058160000} is an apocalyptic number.

1114058160000 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 1114058160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266734412800).

1114058160000 is an abundant number, since it is smaller than the sum of its proper divisors (3419410665600).

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

1114058160000 is a wasteful number, since it uses less digits than its factorization.

1114058160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The spelling of 1114058160000 in words is "one trillion, one hundred fourteen billion, fifty-eight million, one hundred sixty thousand".