4732748038144 has 171 divisors, whose sum is σ = 11029031879463. Its totient is φ = 2024979038208.

The previous prime is 4732748038141. The next prime is 4732748038153. The reversal of 4732748038144 is 4418308472374.

It is a happy number.

The square root of 4732748038144 is 2175488.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4732748038141) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7796948689 + ... + 7796949295.

It is an arithmetic number, because the mean of its divisors is an integer number (64497262453).

Almost surely, 2^{4732748038144} is an apocalyptic number.

4732748038144 is the 2175488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4732748038144

4732748038144 is an abundant number, since it is smaller than the sum of its proper divisors (6296283841319).

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

4732748038144 is an frugal number, since it uses more digits than its factorization.

4732748038144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 55.

The spelling of 4732748038144 in words is "four trillion, seven hundred thirty-two billion, seven hundred forty-eight million, thirty-eight thousand, one hundred forty-four".