144308844900 has 216 divisors, whose sum is σ = 493822955808. Its totient is φ = 34957440000.

The previous prime is 144308844871. The next prime is 144308844971. The reversal of 144308844900 is 9448803441.

144308844900 is a `hidden beast` number, since 1 + 443 + 0 + 88 + 44 + 90 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15152140 + ... + 15161660.

It is an arithmetic number, because the mean of its divisors is an integer number (2286217388).

Almost surely, 2^144308844900 is an apocalyptic number.

144308844900 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 144308844900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246911477904).

144308844900 is an abundant number, since it is smaller than the sum of its proper divisors (349514110908).

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

144308844900 is a wasteful number, since it uses less digits than its factorization.

144308844900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11083 (or 11073 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 144308844900 in words is "one hundred forty-four billion, three hundred eight million, eight hundred forty-four thousand, nine hundred".