114023243522400 has 288 divisors, whose sum is σ = 371544527940768. Its totient is φ = 30373539840000.

The previous prime is 114023243522369. The next prime is 114023243522407. The reversal of 114023243522400 is 4225342320411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114023243522407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10858317150 + ... + 10858327650.

It is an arithmetic number, because the mean of its divisors is an integer number (1290085166461).

Almost surely, 2^{114023243522400} is an apocalyptic number.

114023243522400 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 114023243522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185772263970384).

114023243522400 is an abundant number, since it is smaller than the sum of its proper divisors (257521284418368).

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

114023243522400 is a wasteful number, since it uses less digits than its factorization.

114023243522400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14954 (or 14941 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 114023243522400 its reverse (4225342320411), we get a palindrome (118248585842811).

The spelling of 114023243522400 in words is "one hundred fourteen trillion, twenty-three billion, two hundred forty-three million, five hundred twenty-two thousand, four hundred".