144301456896 has 160 divisors (see below), whose sum is σ = 394057243008. Its totient is φ = 46910054400.

The previous prime is 144301456877. The next prime is 144301456907. The reversal of 144301456896 is 698654103441.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10387171 + ... + 10401053.

Almost surely, 2^144301456896 is an apocalyptic number.

144301456896 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 144301456896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197028621504).

144301456896 is an abundant number, since it is smaller than the sum of its proper divisors (249755786112).

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

144301456896 is a wasteful number, since it uses less digits than its factorization.

144301456896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14072 (or 14056 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 144301456896 in words is "one hundred forty-four billion, three hundred one million, four hundred fifty-six thousand, eight hundred ninety-six".