144054082464768 has 1408 divisors, whose sum is σ = 504861861376000. Its totient is φ = 40226937569280.

The previous prime is 144054082464757. The next prime is 144054082464779. The reversal of 144054082464768 is 867464280450441.

144054082464768 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 5 + 40 + 82 + 46 + 476 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (144054082464757) and next prime (144054082464779).

It is a super-2 number, since 2×144054082464768² (a number of 29 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 127 ways as a sum of consecutive naturals, for example, 190296013446 + ... + 190296014202.

Almost surely, 2^{144054082464768} is an apocalyptic number.

144054082464768 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 144054082464768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252430930688000).

144054082464768 is an abundant number, since it is smaller than the sum of its proper divisors (360807778911232).

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

144054082464768 is an frugal number, since it uses more digits than its factorization.

144054082464768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 165150720, while the sum is 63.

The spelling of 144054082464768 in words is "one hundred forty-four trillion, fifty-four billion, eighty-two million, four hundred sixty-four thousand, seven hundred sixty-eight".