114511034000 has 80 divisors (see below), whose sum is σ = 302059345536. Its totient is φ = 41640368000.

The previous prime is 114511033993. The next prime is 114511034017. The reversal of 114511034000 is 430115411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×114511034000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2580524 + ... + 2624523.

Almost surely, 2^114511034000 is an apocalyptic number.

114511034000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114511034000 is an abundant number, since it is smaller than the sum of its proper divisors (187548311536).

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

114511034000 is a wasteful number, since it uses less digits than its factorization.

114511034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5205081 (or 5205065 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 114511034000 its reverse (430115411), we get a palindrome (114941149411).

The spelling of 114511034000 in words is "one hundred fourteen billion, five hundred eleven million, thirty-four thousand".