114493357837188 has 576 divisors, whose sum is σ = 331803218073600. Its totient is φ = 33246183801600.

The previous prime is 114493357837151. The next prime is 114493357837253. The reversal of 114493357837188 is 881738753394411.

114493357837188 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 9 + 3 + 3 + 578 + 37 + 18 + 8 = 666.

It is a super-2 number, since 2×114493357837188² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 141175533303 + ... + 141175534113.

It is an arithmetic number, because the mean of its divisors is an integer number (576047253600).

Almost surely, 2^{114493357837188} is an apocalyptic number.

114493357837188 is a gapful number since it is divisible by the number (18) 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 114493357837188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165901609036800).

114493357837188 is an abundant number, since it is smaller than the sum of its proper divisors (217309860236412).

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

114493357837188 is a wasteful number, since it uses less digits than its factorization.

114493357837188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1498 counting only the distinct ones).

The product of its digits is 487710720, while the sum is 72.

The spelling of 114493357837188 in words is "one hundred fourteen trillion, four hundred ninety-three billion, three hundred fifty-seven million, eight hundred thirty-seven thousand, one hundred eighty-eight".