144117949565952 has 1408 divisors, whose sum is σ = 477119219512320. Its totient is φ = 42780312207360.

The previous prime is 144117949565917. The next prime is 144117949565977. The reversal of 144117949565952 is 259565949711441.

144117949565952 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 1 + 7 + 9 + 4 + 9 + 565 + 9 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 88906815702 + ... + 88906817322.

It is an arithmetic number, because the mean of its divisors is an integer number (338863082040).

Almost surely, 2^{144117949565952} is an apocalyptic number.

144117949565952 is a gapful number since it is divisible by the number (12) 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 144117949565952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238559609756160).

144117949565952 is an abundant number, since it is smaller than the sum of its proper divisors (333001269946368).

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

144117949565952 is a wasteful number, since it uses less digits than its factorization.

144117949565952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846 (or 1822 counting only the distinct ones).

The product of its digits is 489888000, while the sum is 72.

The spelling of 144117949565952 in words is "one hundred forty-four trillion, one hundred seventeen billion, nine hundred forty-nine million, five hundred sixty-five thousand, nine hundred fifty-two".