114333534102000 has 320 divisors, whose sum is σ = 391109310259200. Its totient is φ = 28635555942400.

The previous prime is 114333534101951. The next prime is 114333534102059. The reversal of 114333534102000 is 201435333411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47687941 + ... + 50028059.

It is an arithmetic number, because the mean of its divisors is an integer number (1222216594560).

Almost surely, 2^{114333534102000} is an apocalyptic number.

114333534102000 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 114333534102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195554655129600).

114333534102000 is an abundant number, since it is smaller than the sum of its proper divisors (276775776157200).

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

114333534102000 is a wasteful number, since it uses less digits than its factorization.

114333534102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340641 (or 2340625 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 114333534102000 its reverse (201435333411), we get a palindrome (114534969435411).

The spelling of 114333534102000 in words is "one hundred fourteen trillion, three hundred thirty-three billion, five hundred thirty-four million, one hundred two thousand".