144051206064480 has 768 divisors, whose sum is σ = 592576450099200. Its totient is φ = 32221411614720.

The previous prime is 144051206064463. The next prime is 144051206064499. The reversal of 144051206064480 is 84460602150441.

144051206064480 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 51 + 2 + 0 + 60 + 64 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1475779837 + ... + 1475877443.

It is an arithmetic number, because the mean of its divisors is an integer number (771583919400).

Almost surely, 2^{144051206064480} is an apocalyptic number.

144051206064480 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 144051206064480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296288225049600).

144051206064480 is an abundant number, since it is smaller than the sum of its proper divisors (448525244034720).

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

144051206064480 is a wasteful number, since it uses less digits than its factorization.

144051206064480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100044 (or 100030 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 144051206064480 in words is "one hundred forty-four trillion, fifty-one billion, two hundred six million, sixty-four thousand, four hundred eighty".