1032460875648 has 96 divisors (see below), whose sum is σ = 2972341047000. Its totient is φ = 343999872000.

The previous prime is 1032460875637. The next prime is 1032460875671. The reversal of 1032460875648 is 8465780642301.

It is a happy number.

1032460875648 is a `hidden beast` number, since 1 + 0 + 3 + 24 + 608 + 7 + 5 + 6 + 4 + 8 = 666.

1032460875648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1032460875594 and 1032460875603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2394078 + ... + 2792226.

Almost surely, 2^{1032460875648} is an apocalyptic number.

1032460875648 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 1032460875648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486170523500).

1032460875648 is an abundant number, since it is smaller than the sum of its proper divisors (1939880171352).

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

1032460875648 is a wasteful number, since it uses less digits than its factorization.

1032460875648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400420 (or 400405 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 1032460875648 in words is "one trillion, thirty-two billion, four hundred sixty million, eight hundred seventy-five thousand, six hundred forty-eight".