114322454400 has 768 divisors, whose sum is σ = 485743910400. Its totient is φ = 22931865600.

The previous prime is 114322454381. The next prime is 114322454423. The reversal of 114322454400 is 4454223411.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21434134 + ... + 21439466.

It is an arithmetic number, because the mean of its divisors is an integer number (632479050).

Almost surely, 2^114322454400 is an apocalyptic number.

114322454400 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 114322454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242871955200).

114322454400 is an abundant number, since it is smaller than the sum of its proper divisors (371421456000).

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

114322454400 is a wasteful number, since it uses less digits than its factorization.

114322454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5407 (or 5390 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 114322454400 its reverse (4454223411), we get a palindrome (118776677811).

The spelling of 114322454400 in words is "one hundred fourteen billion, three hundred twenty-two million, four hundred fifty-four thousand, four hundred".