144934551923364 has 720 divisors, whose sum is σ = 471719030502720. Its totient is φ = 38576210964480.

The previous prime is 144934551923353. The next prime is 144934551923509. The reversal of 144934551923364 is 463329155439441.

144934551923364 is a `hidden beast` number, since 1 + 4 + 4 + 9 + 3 + 455 + 1 + 92 + 33 + 64 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7420734279 + ... + 7420753809.

Almost surely, 2^{144934551923364} is an apocalyptic number.

144934551923364 is a gapful number since it is divisible by the number (14) 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 144934551923364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235859515251360).

144934551923364 is an abundant number, since it is smaller than the sum of its proper divisors (326784478579356).

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

144934551923364 is a wasteful number, since it uses less digits than its factorization.

144934551923364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19990 (or 19972 counting only the distinct ones).

The product of its digits is 167961600, while the sum is 63.

The spelling of 144934551923364 in words is "one hundred forty-four trillion, nine hundred thirty-four billion, five hundred fifty-one million, nine hundred twenty-three thousand, three hundred sixty-four".