114645440 has 224 divisors, whose sum is σ = 349569024. Its totient is φ = 34836480.

The previous prime is 114645431. The next prime is 114645451. The reversal of 114645440 is 44546411.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 902657 + ... + 902783.

It is an arithmetic number, because the mean of its divisors is an integer number (1560576).

Almost surely, 2^114645440 is an apocalyptic number.

114645440 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 114645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174784512).

114645440 is an abundant number, since it is smaller than the sum of its proper divisors (234923584).

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

114645440 is a wasteful number, since it uses less digits than its factorization.

114645440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 114645440 is about 10707.2610876918. The cubic root of 114645440 is about 485.7941289077.

The spelling of 114645440 in words is "one hundred fourteen million, six hundred forty-five thousand, four hundred forty".