114196943931840 has 1344 divisors, whose sum is σ = 514302702842880. Its totient is φ = 23586983239680.

The previous prime is 114196943931803. The next prime is 114196943931841. The reversal of 114196943931840 is 48139349691411.

114196943931840 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 9 + 69 + 4 + 393 + 184 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114196943931841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 777638902 + ... + 777785738.

It is an arithmetic number, because the mean of its divisors is an integer number (382665701520).

Almost surely, 2^{114196943931840} is an apocalyptic number.

114196943931840 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 114196943931840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257151351421440).

114196943931840 is an abundant number, since it is smaller than the sum of its proper divisors (400105758911040).

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

114196943931840 is a wasteful number, since it uses less digits than its factorization.

114196943931840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147055 (or 147032 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 114196943931840 in words is "one hundred fourteen trillion, one hundred ninety-six billion, nine hundred forty-three million, nine hundred thirty-one thousand, eight hundred forty".