14432848632 has 192 divisors, whose sum is σ = 42052608000. Its totient is φ = 4455908352.

The previous prime is 14432848601. The next prime is 14432848643. The reversal of 14432848632 is 23684823441.

It is a happy number.

14432848632 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 2 + 8 + 4 + 8 + 632 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30130969 + ... + 30131447.

It is an arithmetic number, because the mean of its divisors is an integer number (219024000).

Almost surely, 2^14432848632 is an apocalyptic number.

14432848632 is a gapful number since it is divisible by the number (12) 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 14432848632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21026304000).

14432848632 is an abundant number, since it is smaller than the sum of its proper divisors (27619759368).

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

14432848632 is a wasteful number, since it uses less digits than its factorization.

14432848632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 843 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The spelling of 14432848632 in words is "fourteen billion, four hundred thirty-two million, eight hundred forty-eight thousand, six hundred thirty-two".