144390161664 has 216 divisors, whose sum is σ = 476279078912. Its totient is φ = 41211555840.

The previous prime is 144390161609. The next prime is 144390161683. The reversal of 144390161664 is 466161093441.

144390161664 is a `hidden beast` number, since 1 + 44 + 390 + 161 + 6 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17623809 + ... + 17631999.

Almost surely, 2^144390161664 is an apocalyptic number.

144390161664 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 144390161664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238139539456).

144390161664 is an abundant number, since it is smaller than the sum of its proper divisors (331888917248).

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

144390161664 is a wasteful number, since it uses less digits than its factorization.

144390161664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9313 (or 9296 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 144390161664 in words is "one hundred forty-four billion, three hundred ninety million, one hundred sixty-one thousand, six hundred sixty-four".