114256189440 has 1152 divisors, whose sum is σ = 452683183680. Its totient is φ = 27518828544.

The previous prime is 114256189393. The next prime is 114256189459. The reversal of 114256189440 is 44981652411.

114256189440 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 561 + 89 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1565153244 + ... + 1565153316.

Almost surely, 2^114256189440 is an apocalyptic number.

114256189440 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 114256189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226341591840).

114256189440 is an abundant number, since it is smaller than the sum of its proper divisors (338426994240).

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

114256189440 is an equidigital number, since it uses as much as digits as its factorization.

114256189440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 114256189440 in words is "one hundred fourteen billion, two hundred fifty-six million, one hundred eighty-nine thousand, four hundred forty".