144911389896 has 576 divisors, whose sum is σ = 502831929600. Its totient is φ = 37362124800.

The previous prime is 144911389879. The next prime is 144911389897. The reversal of 144911389896 is 698983119441.

144911389896 is a `hidden beast` number, since 1 + 4 + 491 + 138 + 9 + 8 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (144911389897) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 534728241 + ... + 534728511.

It is an arithmetic number, because the mean of its divisors is an integer number (872972100).

Almost surely, 2^144911389896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144911389896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251415964800).

144911389896 is an abundant number, since it is smaller than the sum of its proper divisors (357920539704).

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

144911389896 is a wasteful number, since it uses less digits than its factorization.

144911389896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 516 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 63.

The spelling of 144911389896 in words is "one hundred forty-four billion, nine hundred eleven million, three hundred eighty-nine thousand, eight hundred ninety-six".