144097472064 has 448 divisors, whose sum is σ = 491865920000. Its totient is φ = 36968472576.

The previous prime is 144097472041. The next prime is 144097472083. The reversal of 144097472064 is 460274790441.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (48) 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 (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31674462 + ... + 31679010.

It is an arithmetic number, because the mean of its divisors is an integer number (1097915000).

Almost surely, 2^144097472064 is an apocalyptic number.

144097472064 is a gapful number since it is divisible by the number (14) 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 144097472064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245932960000).

144097472064 is an abundant number, since it is smaller than the sum of its proper divisors (347768447936).

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

144097472064 is a wasteful number, since it uses less digits than its factorization.

144097472064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4635 (or 4611 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 144097472064 in words is "one hundred forty-four billion, ninety-seven million, four hundred seventy-two thousand, sixty-four".