144934697799936 has 864 divisors, whose sum is σ = 485630602934400. Its totient is φ = 42282893721600.

The previous prime is 144934697799917. The next prime is 144934697799937. The reversal of 144934697799936 is 639997796439441.

144934697799936 is a `hidden beast` number, since 1 + 4 + 4 + 9 + 346 + 97 + 7 + 99 + 93 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is not an unprimeable number, because it can be changed into a prime (144934697799937) 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 95 ways as a sum of consecutive naturals, for example, 14394145110 + ... + 14394155178.

It is an arithmetic number, because the mean of its divisors is an integer number (562072457100).

Almost surely, 2^{144934697799936} is an apocalyptic number.

144934697799936 is a gapful number since it is divisible by the number (16) 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 144934697799936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242815301467200).

144934697799936 is an abundant number, since it is smaller than the sum of its proper divisors (340695905134464).

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

144934697799936 is a wasteful number, since it uses less digits than its factorization.

144934697799936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10364 (or 10313 counting only the distinct ones).

The product of its digits is 59997563136, while the sum is 90.

The spelling of 144934697799936 in words is "one hundred forty-four trillion, nine hundred thirty-four billion, six hundred ninety-seven million, seven hundred ninety-nine thousand, nine hundred thirty-six".