144915757668864 has 640 divisors, whose sum is σ = 529858875194880. Its totient is φ = 38081472233472.

The previous prime is 144915757668823. The next prime is 144915757668907. The reversal of 144915757668864 is 468866757519441.

144915757668864 is a `hidden beast` number, since 1 + 4 + 491 + 5 + 7 + 5 + 7 + 6 + 68 + 8 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 348253632 + ... + 348669504.

It is an arithmetic number, because the mean of its divisors is an integer number (827904492492).

Almost surely, 2^{144915757668864} is an apocalyptic number.

144915757668864 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 144915757668864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264929437597440).

144915757668864 is an abundant number, since it is smaller than the sum of its proper divisors (384943117526016).

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

144915757668864 is a wasteful number, since it uses less digits than its factorization.

144915757668864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416197 (or 416175 counting only the distinct ones).

The product of its digits is 9754214400, while the sum is 81.

The spelling of 144915757668864 in words is "one hundred forty-four trillion, nine hundred fifteen billion, seven hundred fifty-seven million, six hundred sixty-eight thousand, eight hundred sixty-four".