144813141486 has 192 divisors, whose sum is σ = 348467071680. Its totient is φ = 43448520960.

The previous prime is 144813141463. The next prime is 144813141509. The reversal of 144813141486 is 684141318441.

144813141486 is a `hidden beast` number, since 14 + 4 + 8 + 13 + 141 + 486 = 666.

It is an interprime number because it is at equal distance from previous prime (144813141463) and next prime (144813141509).

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, 417328765 + ... + 417329111.

It is an arithmetic number, because the mean of its divisors is an integer number (1814932665).

Almost surely, 2^144813141486 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144813141486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174233535840).

144813141486 is an abundant number, since it is smaller than the sum of its proper divisors (203653930194).

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

144813141486 is a wasteful number, since it uses less digits than its factorization.

144813141486 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 599 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The spelling of 144813141486 in words is "one hundred forty-four billion, eight hundred thirteen million, one hundred forty-one thousand, four hundred eighty-six".