114300914400 has 1440 divisors, whose sum is σ = 479129333760. Its totient is φ = 26336378880.

The previous prime is 114300914369. The next prime is 114300914449. The reversal of 114300914400 is 4419003411.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×114300914400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 900007137 + ... + 900007263.

It is an arithmetic number, because the mean of its divisors is an integer number (332728704).

Almost surely, 2^114300914400 is an apocalyptic number.

114300914400 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 114300914400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239564666880).

114300914400 is an abundant number, since it is smaller than the sum of its proper divisors (364828419360).

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

114300914400 is a wasteful number, since it uses less digits than its factorization.

114300914400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 114300914400 its reverse (4419003411), we get a palindrome (118719917811).

The spelling of 114300914400 in words is "one hundred fourteen billion, three hundred million, nine hundred fourteen thousand, four hundred".