144416941578 has 256 divisors, whose sum is σ = 424273920000. Its totient is φ = 36082210752.

The previous prime is 144416941577. The next prime is 144416941619. The reversal of 144416941578 is 875149614441.

144416941578 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 1 + 69 + 4 + 1 + 578 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (144416941577) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4559151 + ... + 4590717.

It is an arithmetic number, because the mean of its divisors is an integer number (1657320000).

Almost surely, 2^144416941578 is an apocalyptic number.

144416941578 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144416941578, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212136960000).

144416941578 is an abundant number, since it is smaller than the sum of its proper divisors (279856978422).

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

144416941578 is a wasteful number, since it uses less digits than its factorization.

144416941578 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31631 (or 31611 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 144416941578 in words is "one hundred forty-four billion, four hundred sixteen million, nine hundred forty-one thousand, five hundred seventy-eight".