144885400045200 has 480 divisors, whose sum is σ = 543633096425600. Its totient is φ = 36548205281280.

The previous prime is 144885400045189. The next prime is 144885400045229. The reversal of 144885400045200 is 2540004588441.

144885400045200 is a `hidden beast` number, since 1 + 4 + 4 + 8 + 85 + 40 + 0 + 0 + 4 + 520 + 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 95 ways as a sum of consecutive naturals, for example, 137575032 + ... + 138624168.

Almost surely, 2^{144885400045200} is an apocalyptic number.

144885400045200 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 144885400045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271816548212800).

144885400045200 is an abundant number, since it is smaller than the sum of its proper divisors (398747696380400).

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

144885400045200 is a wasteful number, since it uses less digits than its factorization.

144885400045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049856 (or 1049839 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 45.

The spelling of 144885400045200 in words is "one hundred forty-four trillion, eight hundred eighty-five billion, four hundred million, forty-five thousand, two hundred".