144304397856 has 240 divisors, whose sum is σ = 438803785728. Its totient is φ = 46473523200.

The previous prime is 144304397843. The next prime is 144304397869. The reversal of 144304397856 is 658793403441.

144304397856 is a `hidden beast` number, since 1 + 4 + 430 + 43 + 97 + 85 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (144304397843) and next prime (144304397869).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 69342736 + ... + 69344816.

Almost surely, 2^144304397856 is an apocalyptic number.

144304397856 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 144304397856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219401892864).

144304397856 is an abundant number, since it is smaller than the sum of its proper divisors (294499387872).

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

144304397856 is a wasteful number, since it uses less digits than its factorization.

144304397856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2997 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 144304397856 in words is "one hundred forty-four billion, three hundred four million, three hundred ninety-seven thousand, eight hundred fifty-six".