144264497936 has 80 divisors (see below), whose sum is σ = 305539246320. Its totient is φ = 65589626880.

The previous prime is 144264497921. The next prime is 144264497957. The reversal of 144264497936 is 639794462441.

It can be written as a sum of positive squares in 8 ways, for example, as 6044129536 + 138220368400 = 77744^2 + 371780^2 .

It is a super-2 number, since 2×144264497936² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3903866 + ... + 3940646.

It is an arithmetic number, because the mean of its divisors is an integer number (3819240579).

Almost surely, 2^144264497936 is an apocalyptic number.

144264497936 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 144264497936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152769623160).

144264497936 is an abundant number, since it is smaller than the sum of its proper divisors (161274748384).

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

144264497936 is a wasteful number, since it uses less digits than its factorization.

144264497936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37084 (or 37078 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 59.

The spelling of 144264497936 in words is "one hundred forty-four billion, two hundred sixty-four million, four hundred ninety-seven thousand, nine hundred thirty-six".