114861240000 has 1120 divisors, whose sum is σ = 464576038080. Its totient is φ = 27993600000.

The previous prime is 114861239957. The next prime is 114861240023. The reversal of 114861240000 is 42168411.

It is a happy number.

114861240000 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 612 + 40 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1137239950 + ... + 1137240050.

It is an arithmetic number, because the mean of its divisors is an integer number (414800034).

Almost surely, 2^114861240000 is an apocalyptic number.

114861240000 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 114861240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232288019040).

114861240000 is an abundant number, since it is smaller than the sum of its proper divisors (349714798080).

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

114861240000 is an frugal number, since it uses more digits than its factorization.

114861240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 114861240000 in words is "one hundred fourteen billion, eight hundred sixty-one million, two hundred forty thousand".