144763993920 has 672 divisors, whose sum is σ = 582861968640. Its totient is φ = 29789061120.

The previous prime is 144763993909. The next prime is 144763993951. The reversal of 144763993920 is 29399367441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×144763993920² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46561326 + ... + 46564434.

It is an arithmetic number, because the mean of its divisors is an integer number (867354120).

Almost surely, 2^144763993920 is an apocalyptic number.

144763993920 is a gapful number since it is divisible by the number (10) 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 144763993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291430984320).

144763993920 is an abundant number, since it is smaller than the sum of its proper divisors (438097974720).

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

144763993920 is a wasteful number, since it uses less digits than its factorization.

144763993920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3203 (or 3180 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 57.

The spelling of 144763993920 in words is "one hundred forty-four billion, seven hundred sixty-three million, nine hundred ninety-three thousand, nine hundred twenty".