432001659648 has 288 divisors, whose sum is σ = 1292582430720. Its totient is φ = 127182274560.

The previous prime is 432001659641. The next prime is 432001659667. The reversal of 432001659648 is 846956100234.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 432001659597 and 432001659606.

It is not an unprimeable number, because it can be changed into a prime (432001659641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27538015 + ... + 27553697.

It is an arithmetic number, because the mean of its divisors is an integer number (4488133440).

Almost surely, 2^432001659648 is an apocalyptic number.

432001659648 is a gapful number since it is divisible by the number (48) 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 432001659648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646291215360).

432001659648 is an abundant number, since it is smaller than the sum of its proper divisors (860580771072).

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

432001659648 is a wasteful number, since it uses less digits than its factorization.

432001659648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15835 (or 15821 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 432001659648 in words is "four hundred thirty-two billion, one million, six hundred fifty-nine thousand, six hundred forty-eight".