144855492768 has 288 divisors, whose sum is σ = 493887663360. Its totient is φ = 39396188160.

The previous prime is 144855492713. The next prime is 144855492809. The reversal of 144855492768 is 867294558441.

It is a happy number.

144855492768 is a `hidden beast` number, since 1 + 4 + 4 + 8 + 5 + 549 + 27 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×144855492768² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4133496 + ... + 4168392.

It is an arithmetic number, because the mean of its divisors is an integer number (1714887720).

Almost surely, 2^144855492768 is an apocalyptic number.

144855492768 is a gapful number since it is divisible by the number (18) 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 144855492768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246943831680).

144855492768 is an abundant number, since it is smaller than the sum of its proper divisors (349032170592).

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

144855492768 is a wasteful number, since it uses less digits than its factorization.

144855492768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35020 (or 35009 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 63.

The spelling of 144855492768 in words is "one hundred forty-four billion, eight hundred fifty-five million, four hundred ninety-two thousand, seven hundred sixty-eight".