114003188352 has 96 divisors (see below), whose sum is σ = 345322224000. Its totient is φ = 36000999936.

The previous prime is 114003188279. The next prime is 114003188423. The reversal of 114003188352 is 253881300411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×114003188352³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2582352 + ... + 2626127.

It is an arithmetic number, because the mean of its divisors is an integer number (3597106500).

Almost surely, 2^114003188352 is an apocalyptic number.

114003188352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114003188352 is an abundant number, since it is smaller than the sum of its proper divisors (231319035648).

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

114003188352 is a wasteful number, since it uses less digits than its factorization.

114003188352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5208518 (or 5208503 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 114003188352 its reverse (253881300411), we get a palindrome (367884488763).

The spelling of 114003188352 in words is "one hundred fourteen billion, three million, one hundred eighty-eight thousand, three hundred fifty-two".