114919489440 has 576 divisors, whose sum is σ = 462203449344. Its totient is φ = 25456932864.

The previous prime is 114919489403. The next prime is 114919489453. The reversal of 114919489440 is 44984919411.

114919489440 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 194 + 8 + 9 + 440 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50691187 + ... + 50693453.

It is an arithmetic number, because the mean of its divisors is an integer number (802436544).

Almost surely, 2^114919489440 is an apocalyptic number.

114919489440 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 114919489440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231101724672).

114919489440 is an abundant number, since it is smaller than the sum of its proper divisors (347283959904).

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

114919489440 is a wasteful number, since it uses less digits than its factorization.

114919489440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 114919489440 in words is "one hundred fourteen billion, nine hundred nineteen million, four hundred eighty-nine thousand, four hundred forty".