144353372400000 has 1536 divisors, whose sum is σ = 556588576051200. Its totient is φ = 37245484800000.

The previous prime is 144353372399983. The next prime is 144353372400047. The reversal of 144353372400000 is 4273353441.

144353372400000 is a `hidden beast` number, since 14 + 4 + 3 + 533 + 72 + 40 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×144353372400000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27118797339 + ... + 27118802661.

It is an arithmetic number, because the mean of its divisors is an integer number (362362354200).

Almost surely, 2^{144353372400000} is an apocalyptic number.

144353372400000 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 144353372400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278294288025600).

144353372400000 is an abundant number, since it is smaller than the sum of its proper divisors (412235203651200).

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

144353372400000 is an frugal number, since it uses more digits than its factorization.

144353372400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5414 (or 5364 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 144353372400000 in words is "one hundred forty-four trillion, three hundred fifty-three billion, three hundred seventy-two million, four hundred thousand".