114541633600 has 63 divisors (see below), whose sum is σ = 281877322071. Its totient is φ = 45811238400.

The previous prime is 114541633573. The next prime is 114541633643. The reversal of 114541633600 is 6336145411.

The square root of 114541633600 is 338440.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5821079616 + 108720553984 = 76296^2 + 329728^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13533370 + ... + 13541830.

Almost surely, 2^114541633600 is an apocalyptic number.

114541633600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114541633600 is the 338440-th square number.

It is an amenable number.

114541633600 is an abundant number, since it is smaller than the sum of its proper divisors (167335688471).

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

114541633600 is an frugal number, since it uses more digits than its factorization.

114541633600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16944 (or 8468 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 114541633600 in words is "one hundred fourteen billion, five hundred forty-one million, six hundred thirty-three thousand, six hundred".