114042046000 has 160 divisors (see below), whose sum is σ = 280694284416. Its totient is φ = 44804480000.

The previous prime is 114042045989. The next prime is 114042046003. The reversal of 114042046000 is 640240411.

It is a super-2 number, since 2×114042046000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114042046003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41604630 + ... + 41607370.

Almost surely, 2^114042046000 is an apocalyptic number.

114042046000 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 114042046000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140347142208).

114042046000 is an abundant number, since it is smaller than the sum of its proper divisors (166652238416).

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

114042046000 is a wasteful number, since it uses less digits than its factorization.

114042046000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3128 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 114042046000 its reverse (640240411), we get a palindrome (114682286411).

The spelling of 114042046000 in words is "one hundred fourteen billion, forty-two million, forty-six thousand".