114201000014400 has 1008 divisors, whose sum is σ = 476252643713280. Its totient is φ = 26457388646400.

The previous prime is 114201000014389. The next prime is 114201000014461. The reversal of 114201000014400 is 4410000102411.

114201000014400 is a `hidden beast` number, since 1 + 1 + 420 + 100 + 0 + 0 + 144 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 161950585 + ... + 162654215.

Almost surely, 2^{114201000014400} is an apocalyptic number.

114201000014400 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 114201000014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238126321856640).

114201000014400 is an abundant number, since it is smaller than the sum of its proper divisors (362051643698880).

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

114201000014400 is a wasteful number, since it uses less digits than its factorization.

114201000014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703709 (or 703671 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 114201000014400 its reverse (4410000102411), we get a palindrome (118611000116811).

The spelling of 114201000014400 in words is "one hundred fourteen trillion, two hundred one billion, fourteen thousand, four hundred".