144882116100 has 252 divisors, whose sum is σ = 473659944240. Its totient is φ = 38448043200.

The previous prime is 144882116059. The next prime is 144882116107. The reversal of 144882116100 is 1611288441.

144882116100 is a `hidden beast` number, since 14 + 4 + 8 + 8 + 21 + 1 + 610 + 0 = 666.

It is a super-2 number, since 2×144882116100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (144882116107) 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 83 ways as a sum of consecutive naturals, for example, 15377191 + ... + 15386609.

Almost surely, 2^144882116100 is an apocalyptic number.

144882116100 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 144882116100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236829972120).

144882116100 is an abundant number, since it is smaller than the sum of its proper divisors (328777828140).

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

144882116100 is a wasteful number, since it uses less digits than its factorization.

144882116100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9662 (or 9640 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 144882116100 in words is "one hundred forty-four billion, eight hundred eighty-two million, one hundred sixteen thousand, one hundred".