144636072336 has 320 divisors, whose sum is σ = 480647331840. Its totient is φ = 40789163520.

The previous prime is 144636072253. The next prime is 144636072377. The reversal of 144636072336 is 633270636441.

144636072336 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 3 + 607 + 2 + 3 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 144636072291 and 144636072300.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131129161 + ... + 131130263.

It is an arithmetic number, because the mean of its divisors is an integer number (1502022912).

Almost surely, 2^144636072336 is an apocalyptic number.

144636072336 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 144636072336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240323665920).

144636072336 is an abundant number, since it is smaller than the sum of its proper divisors (336011259504).

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

144636072336 is a wasteful number, since it uses less digits than its factorization.

144636072336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 144636072336 in words is "one hundred forty-four billion, six hundred thirty-six million, seventy-two thousand, three hundred thirty-six".