144533133054450 has 288 divisors, whose sum is σ = 444371647180032. Its totient is φ = 32992538112000.

The previous prime is 144533133054413. The next prime is 144533133054679. The reversal of 144533133054450 is 54450331335441.

144533133054450 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 331 + 3 + 305 + 4 + 4 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 144533133054396 and 144533133054405.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12214405734 + ... + 12214417566.

It is an arithmetic number, because the mean of its divisors is an integer number (1542957108264).

Almost surely, 2^{144533133054450} is an apocalyptic number.

144533133054450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144533133054450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222185823590016).

144533133054450 is an abundant number, since it is smaller than the sum of its proper divisors (299838514125582).

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

144533133054450 is a wasteful number, since it uses less digits than its factorization.

144533133054450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16650 (or 16642 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

Adding to 144533133054450 its reverse (54450331335441), we get a palindrome (198983464389891).

The spelling of 144533133054450 in words is "one hundred forty-four trillion, five hundred thirty-three billion, one hundred thirty-three million, fifty-four thousand, four hundred fifty".