114320112432000 has 512 divisors, whose sum is σ = 401846276482560. Its totient is φ = 28650442752000.

The previous prime is 114320112431999. The next prime is 114320112432061. The reversal of 114320112432000 is 234211023411.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 563754627 + ... + 563957373.

It is an arithmetic number, because the mean of its divisors is an integer number (784856008755).

Almost surely, 2^{114320112432000} is an apocalyptic number.

114320112432000 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 114320112432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200923138241280).

114320112432000 is an abundant number, since it is smaller than the sum of its proper divisors (287526164050560).

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

114320112432000 is a wasteful number, since it uses less digits than its factorization.

114320112432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203487 (or 203465 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 114320112432000 its reverse (234211023411), we get a palindrome (114554323455411).

The spelling of 114320112432000 in words is "one hundred fourteen trillion, three hundred twenty billion, one hundred twelve million, four hundred thirty-two thousand".