144536118480 has 480 divisors, whose sum is σ = 538490534400. Its totient is φ = 34521956352.

The previous prime is 144536118457. The next prime is 144536118481. The reversal of 144536118480 is 84811635441.

144536118480 is a `hidden beast` number, since 1 + 4 + 4 + 53 + 6 + 118 + 480 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144536118481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43625304 + ... + 43628616.

It is an arithmetic number, because the mean of its divisors is an integer number (1121855280).

Almost surely, 2^144536118480 is an apocalyptic number.

144536118480 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 144536118480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269245267200).

144536118480 is an abundant number, since it is smaller than the sum of its proper divisors (393954415920).

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

144536118480 is a wasteful number, since it uses less digits than its factorization.

144536118480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3483 (or 3474 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 144536118480 in words is "one hundred forty-four billion, five hundred thirty-six million, one hundred eighteen thousand, four hundred eighty".