144269249904 has 320 divisors, whose sum is σ = 473061388800. Its totient is φ = 41729126400.

The previous prime is 144269249879. The next prime is 144269249911. The reversal of 144269249904 is 409942962441.

144269249904 is a `hidden beast` number, since 1 + 4 + 426 + 92 + 49 + 90 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13973064 + ... + 13983384.

It is an arithmetic number, because the mean of its divisors is an integer number (1478316840).

Almost surely, 2^144269249904 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 144269249904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236530694400).

144269249904 is an abundant number, since it is smaller than the sum of its proper divisors (328792138896).

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

144269249904 is a wasteful number, since it uses less digits than its factorization.

144269249904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10501 (or 10489 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 144269249904 in words is "one hundred forty-four billion, two hundred sixty-nine million, two hundred forty-nine thousand, nine hundred four".