65380518144 has 432 divisors, whose sum is σ = 210463485120. Its totient is φ = 19950796800.

The previous prime is 65380518109. The next prime is 65380518149. The reversal of 65380518144 is 44181508356.

65380518144 is a `hidden beast` number, since 6 + 53 + 80 + 518 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×65380518144² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 65380518144.

It is not an unprimeable number, because it can be changed into a prime (65380518149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197524059 + ... + 197524389.

Almost surely, 2^65380518144 is an apocalyptic number.

65380518144 is a gapful number since it is divisible by the number (64) 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 65380518144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105231742560).

65380518144 is an abundant number, since it is smaller than the sum of its proper divisors (145082966976).

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

65380518144 is a wasteful number, since it uses less digits than its factorization.

65380518144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 65380518144 in words is "sixty-five billion, three hundred eighty million, five hundred eighteen thousand, one hundred forty-four".