144594945360 has 120 divisors (see below), whose sum is σ = 486128647680. Its totient is φ = 38516518656.

The previous prime is 144594945359. The next prime is 144594945403. The reversal of 144594945360 is 63549495441.

144594945360 is a `hidden beast` number, since 1 + 4 + 4 + 594 + 9 + 45 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×144594945360² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 144594945297 and 144594945306.

It is a congruent number.

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, 552417 + ... + 770943.

It is an arithmetic number, because the mean of its divisors is an integer number (4051072064).

Almost surely, 2^144594945360 is an apocalyptic number.

144594945360 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 144594945360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243064323840).

144594945360 is an abundant number, since it is smaller than the sum of its proper divisors (341533702320).

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

144594945360 is a wasteful number, since it uses less digits than its factorization.

144594945360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219465 (or 219456 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 144594945360 in words is "one hundred forty-four billion, five hundred ninety-four million, nine hundred forty-five thousand, three hundred sixty".