114209233144384 has 63 divisors (see below), whose sum is σ = 263636789235273. Its totient is φ = 48946557719808.

The previous prime is 114209233144339. The next prime is 114209233144393. The reversal of 114209233144384 is 483441332902411.

The square root of 114209233144384 is 10686872.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15280906446400 + 98928326697984 = 3909080^2 + 9946272^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 598369414 + ... + 598560250.

Almost surely, 2^{114209233144384} is an apocalyptic number.

114209233144384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

114209233144384 is the 10686872-nd square number.

It is an amenable number.

114209233144384 is an abundant number, since it is smaller than the sum of its proper divisors (149427556090889).

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

114209233144384 is an frugal number, since it uses more digits than its factorization.

114209233144384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381700 (or 190846 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 49.

114209233144384 divided by its sum of digits (49) gives a square (2330800676416 = 1526696²).

The spelling of 114209233144384 in words is "one hundred fourteen trillion, two hundred nine billion, two hundred thirty-three million, one hundred forty-four thousand, three hundred eighty-four".