144451502532480 has 1024 divisors, whose sum is σ = 560953205729280. Its totient is φ = 31145591439360.

The previous prime is 144451502532473. The next prime is 144451502532521. The reversal of 144451502532480 is 84235205154441.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 127 ways as a sum of consecutive naturals, for example, 1046279134 + ... + 1046417186.

It is an arithmetic number, because the mean of its divisors is an integer number (547805864970).

Almost surely, 2^{144451502532480} is an apocalyptic number.

144451502532480 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 144451502532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280476602864640).

144451502532480 is an abundant number, since it is smaller than the sum of its proper divisors (416501703196800).

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

144451502532480 is a wasteful number, since it uses less digits than its factorization.

144451502532480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138239 (or 138227 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 48.

The spelling of 144451502532480 in words is "one hundred forty-four trillion, four hundred fifty-one billion, five hundred two million, five hundred thirty-two thousand, four hundred eighty".