4748413291776 has 1296 divisors, whose sum is σ = 18659582008704. Its totient is φ = 1132167168000.

The previous prime is 4748413291751. The next prime is 4748413291829. The reversal of 4748413291776 is 6771923148474.

It is a happy number.

4748413291776 is a `hidden beast` number, since 4 + 7 + 48 + 413 + 2 + 9 + 177 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 143 ways as a sum of consecutive naturals, for example, 1360185391 + ... + 1360188881.

It is an arithmetic number, because the mean of its divisors is an integer number (14397825624).

Almost surely, 2^{4748413291776} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4748413291776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9329791004352).

4748413291776 is an abundant number, since it is smaller than the sum of its proper divisors (13911168716928).

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

4748413291776 is a wasteful number, since it uses less digits than its factorization.

4748413291776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3600 (or 3572 counting only the distinct ones).

The product of its digits is 56899584, while the sum is 63.

The spelling of 4748413291776 in words is "four trillion, seven hundred forty-eight billion, four hundred thirteen million, two hundred ninety-one thousand, seven hundred seventy-six".