114531102400 has 672 divisors, whose sum is σ = 346243339008. Its totient is φ = 36727603200.

The previous prime is 114531102397. The next prime is 114531102461. The reversal of 114531102400 is 4201135411.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 702644719 + ... + 702644881.

It is an arithmetic number, because the mean of its divisors is an integer number (515243064).

Almost surely, 2^114531102400 is an apocalyptic number.

114531102400 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 114531102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173121669504).

114531102400 is an abundant number, since it is smaller than the sum of its proper divisors (231712236608).

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

114531102400 is a wasteful number, since it uses less digits than its factorization.

114531102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 114531102400 its reverse (4201135411), we get a palindrome (118732237811).

The spelling of 114531102400 in words is "one hundred fourteen billion, five hundred thirty-one million, one hundred two thousand, four hundred".