4748031340416 has 384 divisors, whose sum is σ = 17555114858400. Its totient is φ = 1252227465216.

The previous prime is 4748031340399. The next prime is 4748031340427. The reversal of 4748031340416 is 6140431308474.

4748031340416 is a `hidden beast` number, since 474 + 8 + 0 + 3 + 134 + 0 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×4748031340416³ (a number of 39 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 1123096 + ... + 3279848.

Almost surely, 2^{4748031340416} 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 4748031340416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8777557429200).

4748031340416 is an abundant number, since it is smaller than the sum of its proper divisors (12807083517984).

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

4748031340416 is a wasteful number, since it uses less digits than its factorization.

4748031340416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2156803 (or 2156778 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 4748031340416 in words is "four trillion, seven hundred forty-eight billion, thirty-one million, three hundred forty thousand, four hundred sixteen".