114274633320 has 96 divisors (see below), whose sum is σ = 371753296200. Its totient is φ = 30443636736.

The previous prime is 114274633309. The next prime is 114274633351. The reversal of 114274633320 is 23336472411.

114274633320 is a `hidden beast` number, since 1 + 1 + 4 + 274 + 63 + 3 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 112022751204 + 2251882116 = 334698^2 + 47454^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218236 + ... + 525524.

Almost surely, 2^114274633320 is an apocalyptic number.

114274633320 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 114274633320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185876648100).

114274633320 is an abundant number, since it is smaller than the sum of its proper divisors (257478662880).

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

114274633320 is a wasteful number, since it uses less digits than its factorization.

114274633320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308339 (or 308332 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 114274633320 in words is "one hundred fourteen billion, two hundred seventy-four million, six hundred thirty-three thousand, three hundred twenty".