144119766201984 has 320 divisors, whose sum is σ = 452010297816000. Its totient is φ = 45457208045568.

The previous prime is 144119766201941. The next prime is 144119766202007. The reversal of 144119766201984 is 489102667911441.

144119766201984 is a `hidden beast` number, since 1 + 4 + 411 + 9 + 7 + 6 + 6 + 20 + 198 + 4 = 666.

It is a super-2 number, since 2×144119766201984² (a number of 29 digits) contains 22 as substring.

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, 164840292 + ... + 165712284.

It is an arithmetic number, because the mean of its divisors is an integer number (1412532180675).

Almost surely, 2^{144119766201984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144119766201984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226005148908000).

144119766201984 is an abundant number, since it is smaller than the sum of its proper divisors (307890531614016).

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

144119766201984 is an equidigital number, since it uses as much as digits as its factorization.

144119766201984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872877 (or 872856 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 144119766201984 in words is "one hundred forty-four trillion, one hundred nineteen billion, seven hundred sixty-six million, two hundred one thousand, nine hundred eighty-four".