1465275305664 has 168 divisors, whose sum is σ = 4369573265408. Its totient is φ = 468946920960.

The previous prime is 1465275305617. The next prime is 1465275305671. The reversal of 1465275305664 is 4665035725641.

1465275305664 is a `hidden beast` number, since 1 + 4 + 6 + 5 + 2 + 75 + 3 + 0 + 566 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1465275305664.

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 23 ways as a sum of consecutive naturals, for example, 1944639 + ... + 2590785.

Almost surely, 2^{1465275305664} 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 1465275305664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184786632704).

1465275305664 is an abundant number, since it is smaller than the sum of its proper divisors (2904297959744).

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

1465275305664 is a wasteful number, since it uses less digits than its factorization.

1465275305664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646323 (or 646310 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 1465275305664 in words is "one trillion, four hundred sixty-five billion, two hundred seventy-five million, three hundred five thousand, six hundred sixty-four".