144901236480 has 1728 divisors, whose sum is σ = 657664358400. Its totient is φ = 26406420480.

The previous prime is 144901236449. The next prime is 144901236481. The reversal of 144901236480 is 84632109441.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144901236481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 972491446 + ... + 972491594.

It is an arithmetic number, because the mean of its divisors is an integer number (380592800).

Almost surely, 2^144901236480 is an apocalyptic number.

144901236480 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 144901236480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328832179200).

144901236480 is an abundant number, since it is smaller than the sum of its proper divisors (512763121920).

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

144901236480 is a wasteful number, since it uses less digits than its factorization.

144901236480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 144901236480 in words is "one hundred forty-four billion, nine hundred one million, two hundred thirty-six thousand, four hundred eighty".