144455161631940 has 288 divisors, whose sum is σ = 450872630208000. Its totient is φ = 37409572279296.

The previous prime is 144455161631939. The next prime is 144455161631987. The reversal of 144455161631940 is 49136161554441.

It is a happy number.

144455161631940 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 5 + 5 + 1 + 616 + 3 + 19 + 4 + 0 = 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, 17902482226 + ... + 17902490294.

It is an arithmetic number, because the mean of its divisors is an integer number (1565529966000).

Almost surely, 2^{144455161631940} is an apocalyptic number.

144455161631940 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 144455161631940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225436315104000).

144455161631940 is an abundant number, since it is smaller than the sum of its proper divisors (306417468576060).

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

144455161631940 is a wasteful number, since it uses less digits than its factorization.

144455161631940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12859 (or 12854 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 144455161631940 in words is "one hundred forty-four trillion, four hundred fifty-five billion, one hundred sixty-one million, six hundred thirty-one thousand, nine hundred forty".