144181199972880 has 800 divisors, whose sum is σ = 588124697681664. Its totient is φ = 32051038666752.

The previous prime is 144181199972857. The next prime is 144181199972891. The reversal of 144181199972880 is 88279991181441.

144181199972880 is a `hidden beast` number, since 1 + 4 + 418 + 11 + 99 + 97 + 28 + 8 + 0 = 666.

144181199972880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×144181199972880² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 144181199972799 and 144181199972808.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 454303212 + ... + 454620468.

Almost surely, 2^{144181199972880} is an apocalyptic number.

144181199972880 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 144181199972880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294062348840832).

144181199972880 is an abundant number, since it is smaller than the sum of its proper divisors (443943497708784).

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

144181199972880 is a wasteful number, since it uses less digits than its factorization.

144181199972880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317565 (or 317550 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 72.

The spelling of 144181199972880 in words is "one hundred forty-four trillion, one hundred eighty-one billion, one hundred ninety-nine million, nine hundred seventy-two thousand, eight hundred eighty".