144641203632 has 800 divisors, whose sum is σ = 495463288320. Its totient is φ = 40400363520.

The previous prime is 144641203601. The next prime is 144641203639. The reversal of 144641203632 is 236302146441.

144641203632 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 4 + 12 + 0 + 3 + 632 = 666.

It is a super-2 number, since 2×144641203632² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (144641203639) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 799122582 + ... + 799122762.

Almost surely, 2^144641203632 is an apocalyptic number.

144641203632 is a gapful number since it is divisible by the number (12) 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 144641203632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247731644160).

144641203632 is an abundant number, since it is smaller than the sum of its proper divisors (350822084688).

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

144641203632 is a wasteful number, since it uses less digits than its factorization.

144641203632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 144641203632 in words is "one hundred forty-four billion, six hundred forty-one million, two hundred three thousand, six hundred thirty-two".