144253691904 has 576 divisors, whose sum is σ = 474329157120. Its totient is φ = 38793216000.

The previous prime is 144253691833. The next prime is 144253691921. The reversal of 144253691904 is 409196352441.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 574715779 + ... + 574716029.

It is an arithmetic number, because the mean of its divisors is an integer number (823488120).

Almost surely, 2^144253691904 is an apocalyptic number.

144253691904 is a gapful number since it is divisible by the number (14) 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 144253691904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237164578560).

144253691904 is an abundant number, since it is smaller than the sum of its proper divisors (330075465216).

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

144253691904 is a wasteful number, since it uses less digits than its factorization.

144253691904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 144253691904 in words is "one hundred forty-four billion, two hundred fifty-three million, six hundred ninety-one thousand, nine hundred four".