4147232648832 has 1536 divisors, whose sum is σ = 16347250483200. Its totient is φ = 1015473438720.

The previous prime is 4147232648821. The next prime is 4147232648837. The reversal of 4147232648832 is 2388462327414.

4147232648832 is a `hidden beast` number, since 4 + 1 + 472 + 3 + 2 + 64 + 88 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (4147232648837) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3801312607 + ... + 3801313697.

It is an arithmetic number, because the mean of its divisors is an integer number (10642741200).

Almost surely, 2^{4147232648832} is an apocalyptic number.

4147232648832 is a gapful number since it is divisible by the number (42) 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 4147232648832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8173625241600).

4147232648832 is an abundant number, since it is smaller than the sum of its proper divisors (12200017834368).

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

4147232648832 is a wasteful number, since it uses less digits than its factorization.

4147232648832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1212 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 54.

The spelling of 4147232648832 in words is "four trillion, one hundred forty-seven billion, two hundred thirty-two million, six hundred forty-eight thousand, eight hundred thirty-two".