3114500160000 has 400 divisors, whose sum is σ = 10648553297184. Its totient is φ = 808077312000.

The previous prime is 3114500159941. The next prime is 3114500160133. The reversal of 3114500160000 is 610054113.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×3114500160000² (a number of 26 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 35476159 + ... + 35563841.

Almost surely, 2^{3114500160000} is an apocalyptic number.

3114500160000 is a gapful number since it is divisible by the number (30) 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 3114500160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5324276648592).

3114500160000 is an abundant number, since it is smaller than the sum of its proper divisors (7534053137184).

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

3114500160000 is an frugal number, since it uses more digits than its factorization.

3114500160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87761 (or 87730 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The spelling of 3114500160000 in words is "three trillion, one hundred fourteen billion, five hundred million, one hundred sixty thousand".