1465789897728 has 792 divisors, whose sum is σ = 4883288810400. Its totient is φ = 420453089280.

The previous prime is 1465789897717. The next prime is 1465789897777. The reversal of 1465789897728 is 8277989875641.

1465789897728 is a `hidden beast` number, since 1 + 465 + 7 + 8 + 9 + 89 + 7 + 72 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3338928933 + ... + 3338929371.

It is an arithmetic number, because the mean of its divisors is an integer number (6165768700).

Almost surely, 2^{1465789897728} is an apocalyptic number.

1465789897728 is a gapful number since it is divisible by the number (18) 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 1465789897728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441644405200).

1465789897728 is an abundant number, since it is smaller than the sum of its proper divisors (3417498912672).

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

1465789897728 is a wasteful number, since it uses less digits than its factorization.

1465789897728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 517 counting only the distinct ones).

The product of its digits is 3413975040, while the sum is 81.

The spelling of 1465789897728 in words is "one trillion, four hundred sixty-five billion, seven hundred eighty-nine million, eight hundred ninety-seven thousand, seven hundred twenty-eight".