144298646880100 has 72 divisors (see below), whose sum is σ = 316279103661248. Its totient is φ = 57139015248000.

The previous prime is 144298646880079. The next prime is 144298646880233. The reversal of 144298646880100 is 1088646892441.

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26908342 + ... + 31822258.

Almost surely, 2^{144298646880100} is an apocalyptic number.

144298646880100 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 144298646880100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158139551830624).

144298646880100 is an abundant number, since it is smaller than the sum of its proper divisors (171980456781148).

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

144298646880100 is a wasteful number, since it uses less digits than its factorization.

144298646880100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4916885 (or 4916878 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 61.

The spelling of 144298646880100 in words is "one hundred forty-four trillion, two hundred ninety-eight billion, six hundred forty-six million, eight hundred eighty thousand, one hundred".