144606612640896 has 192 divisors, whose sum is σ = 485684824884480. Its totient is φ = 40437107380224.

The previous prime is 144606612640891. The next prime is 144606612640913. The reversal of 144606612640896 is 698046216606441.

It is a happy number.

144606612640896 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 0 + 6 + 612 + 6 + 4 + 0 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×144606612640896² (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 not an unprimeable number, because it can be changed into a prime (144606612640891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190390861 + ... + 191148876.

It is an arithmetic number, because the mean of its divisors is an integer number (2529608462940).

Almost surely, 2^{144606612640896} is an apocalyptic number.

144606612640896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

144606612640896 is an abundant number, since it is smaller than the sum of its proper divisors (341078212243584).

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

144606612640896 is a wasteful number, since it uses less digits than its factorization.

144606612640896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381539811 (or 381539796 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 144606612640896 in words is "one hundred forty-four trillion, six hundred six billion, six hundred twelve million, six hundred forty thousand, eight hundred ninety-six".