144292536864 has 288 divisors, whose sum is σ = 494303112576. Its totient is φ = 40549662720.

The previous prime is 144292536859. The next prime is 144292536877. The reversal of 144292536864 is 468635292441.

144292536864 is a `hidden beast` number, since 1 + 4 + 4 + 29 + 2 + 536 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 144292536864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3298624 + ... + 3342080.

It is an arithmetic number, because the mean of its divisors is an integer number (1716330252).

Almost surely, 2^144292536864 is an apocalyptic number.

144292536864 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 144292536864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247151556288).

144292536864 is an abundant number, since it is smaller than the sum of its proper divisors (350010575712).

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

144292536864 is an equidigital number, since it uses as much as digits as its factorization.

144292536864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43550 (or 43530 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 144292536864 in words is "one hundred forty-four billion, two hundred ninety-two million, five hundred thirty-six thousand, eight hundred sixty-four".