144545192064 has 640 divisors, whose sum is σ = 552534554880. Its totient is φ = 36458864640.

The previous prime is 144545192059. The next prime is 144545192107. The reversal of 144545192064 is 460291545441.

144545192064 is a `hidden beast` number, since 1 + 4 + 4 + 54 + 519 + 20 + 64 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21696894 + ... + 21703554.

It is an arithmetic number, because the mean of its divisors is an integer number (863335242).

Almost surely, 2^144545192064 is an apocalyptic number.

144545192064 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 144545192064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276267277440).

144545192064 is an abundant number, since it is smaller than the sum of its proper divisors (407989362816).

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

144545192064 is a wasteful number, since it uses less digits than its factorization.

144545192064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6730 (or 6709 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 144545192064 in words is "one hundred forty-four billion, five hundred forty-five million, one hundred ninety-two thousand, sixty-four".