114422133450400 has 144 divisors (see below), whose sum is σ = 285006960496440. Its totient is φ = 44848521216000.

The previous prime is 114422133450389. The next prime is 114422133450419. The reversal of 114422133450400 is 4054331224411.

It can be written as a sum of positive squares in 12 ways, for example, as 61144455138064 + 53277678312336 = 7819492^2 + 7299156^2 .

It is a super-2 number, since 2×114422133450400² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 538036 + ... + 15137164.

Almost surely, 2^{114422133450400} is an apocalyptic number.

114422133450400 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 114422133450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142503480248220).

114422133450400 is an abundant number, since it is smaller than the sum of its proper divisors (170584827046040).

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

114422133450400 is a wasteful number, since it uses less digits than its factorization.

114422133450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14599347 (or 14599334 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 114422133450400 its reverse (4054331224411), we get a palindrome (118476464674811).

The spelling of 114422133450400 in words is "one hundred fourteen trillion, four hundred twenty-two billion, one hundred thirty-three million, four hundred fifty thousand, four hundred".