1465385067300 has 864 divisors, whose sum is σ = 5510977274880. Its totient is φ = 297198720000.

The previous prime is 1465385067299. The next prime is 1465385067329. The reversal of 1465385067300 is 37605835641.

It is a self number, because there is not a number n which added to its sum of digits gives 1465385067300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1251395715 + ... + 1251396885.

It is an arithmetic number, because the mean of its divisors is an integer number (6378445920).

Almost surely, 2^{1465385067300} is an apocalyptic number.

1465385067300 is a gapful number since it is divisible by the number (10) 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 1465385067300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2755488637440).

1465385067300 is an abundant number, since it is smaller than the sum of its proper divisors (4045592207580).

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

1465385067300 is a wasteful number, since it uses less digits than its factorization.

1465385067300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 1465385067300 in words is "one trillion, four hundred sixty-five billion, three hundred eighty-five million, sixty-seven thousand, three hundred".