144892208640 has 160 divisors (see below), whose sum is σ = 465765876576. Its totient is φ = 38424084480.

The previous prime is 144892208611. The next prime is 144892208677. The reversal of 144892208640 is 46802298441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×144892208640³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 144892208640.

It is a congruent number.

It is an unprimeable number.

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, 1337964 + ... + 1442196.

Almost surely, 2^144892208640 is an apocalyptic number.

144892208640 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 144892208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232882938288).

144892208640 is an abundant number, since it is smaller than the sum of its proper divisors (320873667936).

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

144892208640 is a wasteful number, since it uses less digits than its factorization.

144892208640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104440 (or 104424 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 144892208640 in words is "one hundred forty-four billion, eight hundred ninety-two million, two hundred eight thousand, six hundred forty".