144908966117376 has 300 divisors, whose sum is σ = 433132010277120. Its totient is φ = 48279857725440.

The previous prime is 144908966117359. The next prime is 144908966117401. The reversal of 144908966117376 is 673711669809441.

144908966117376 is a `hidden beast` number, since 1 + 4 + 4 + 9 + 0 + 89 + 66 + 117 + 376 = 666.

It is a super-2 number, since 2×144908966117376² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2891734561 + ... + 2891784671.

Almost surely, 2^{144908966117376} is an apocalyptic number.

144908966117376 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 144908966117376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216566005138560).

144908966117376 is an abundant number, since it is smaller than the sum of its proper divisors (288223044159744).

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

144908966117376 is an frugal number, since it uses more digits than its factorization.

144908966117376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52330 (or 52295 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 144908966117376 in words is "one hundred forty-four trillion, nine hundred eight billion, nine hundred sixty-six million, one hundred seventeen thousand, three hundred seventy-six".