114344089344000 has 2304 divisors, whose sum is σ = 441993936384000. Its totient is φ = 29470467686400.

The previous prime is 114344089343977. The next prime is 114344089344029. The reversal of 114344089344000 is 443980443411.

114344089344000 is a `hidden beast` number, since 114 + 3 + 4 + 4 + 0 + 8 + 93 + 440 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 260464895781 + ... + 260464896219.

It is an arithmetic number, because the mean of its divisors is an integer number (191837646000).

Almost surely, 2^{114344089344000} is an apocalyptic number.

114344089344000 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 114344089344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220996968192000).

114344089344000 is an abundant number, since it is smaller than the sum of its proper divisors (327649847040000).

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

114344089344000 is an frugal number, since it uses more digits than its factorization.

114344089344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 114344089344000 in words is "one hundred fourteen trillion, three hundred forty-four billion, eighty-nine million, three hundred forty-four thousand".