144785055744000 has 4080 divisors, whose sum is σ = 647015740793136. Its totient is φ = 32105299968000.

The previous prime is 144785055743983. The next prime is 144785055744037. The reversal of 144785055744000 is 447550587441.

It is a happy number.

144785055744000 is a `hidden beast` number, since 1 + 4 + 4 + 7 + 85 + 0 + 557 + 4 + 4 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 85104610246656 + 59680445497344 = 9225216^2 + 7725312^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1983356927964 + ... + 1983356928036.

Almost surely, 2^{144785055744000} is an apocalyptic number.

144785055744000 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 144785055744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323507870396568).

144785055744000 is an abundant number, since it is smaller than the sum of its proper divisors (502230685049136).

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

144785055744000 is an frugal number, since it uses more digits than its factorization.

144785055744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 12544000, while the sum is 54.

The spelling of 144785055744000 in words is "one hundred forty-four trillion, seven hundred eighty-five billion, fifty-five million, seven hundred forty-four thousand".