144496948464 has 240 divisors, whose sum is σ = 457993186560. Its totient is φ = 43739066880.

The previous prime is 144496948459. The next prime is 144496948537. The reversal of 144496948464 is 464849694441.

144496948464 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 96 + 9 + 484 + 64 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70865557 + ... + 70867595.

It is an arithmetic number, because the mean of its divisors is an integer number (1908304944).

Almost surely, 2^144496948464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144496948464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228996593280).

144496948464 is an abundant number, since it is smaller than the sum of its proper divisors (313496238096).

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

144496948464 is a wasteful number, since it uses less digits than its factorization.

144496948464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3730 (or 3712 counting only the distinct ones).

The product of its digits is 95551488, while the sum is 63.

The spelling of 144496948464 in words is "one hundred forty-four billion, four hundred ninety-six million, nine hundred forty-eight thousand, four hundred sixty-four".