144367091360832 has 112 divisors (see below), whose sum is σ = 384336609950592. Its totient is φ = 47825285652480.

The previous prime is 144367091360809. The next prime is 144367091360837. The reversal of 144367091360832 is 238063190763441.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (144367091360837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16535818 + ... + 23710070.

Almost surely, 2^{144367091360832} is an apocalyptic number.

144367091360832 is a gapful number since it is divisible by the number (12) 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 144367091360832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192168304975296).

144367091360832 is an abundant number, since it is smaller than the sum of its proper divisors (239969518589760).

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

144367091360832 is a wasteful number, since it uses less digits than its factorization.

144367091360832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7174916 (or 7174906 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 57.

The spelling of 144367091360832 in words is "one hundred forty-four trillion, three hundred sixty-seven billion, ninety-one million, three hundred sixty thousand, eight hundred thirty-two".