1465123648 has 84 divisors (see below), whose sum is σ = 3120211692. Its totient is φ = 682393600.

The previous prime is 1465123633. The next prime is 1465123663. The reversal of 1465123648 is 8463215641.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1465123633) and next prime (1465123663).

It can be written as a sum of positive squares in 6 ways, for example, as 42928704 + 1422194944 = 6552^2 + 37712^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1465123648.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2089698 + ... + 2090398.

Almost surely, 2^1465123648 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 1465123648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560105846).

1465123648 is an abundant number, since it is smaller than the sum of its proper divisors (1655088044).

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

1465123648 is a wasteful number, since it uses less digits than its factorization.

1465123648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 833 counting only the distinct ones).

The product of its digits is 138240, while the sum is 40.

The square root of 1465123648 is about 38276.9336284922. The cubic root of 1465123648 is about 1135.7727013331.

The spelling of 1465123648 in words is "one billion, four hundred sixty-five million, one hundred twenty-three thousand, six hundred forty-eight".