4748923416006 has 192 divisors, whose sum is σ = 13247037872640. Its totient is φ = 1193746014720.

The previous prime is 4748923415989. The next prime is 4748923416019. The reversal of 4748923416006 is 6006143298474.

4748923416006 is a `hidden beast` number, since 4 + 7 + 4 + 8 + 9 + 23 + 4 + 1 + 600 + 6 = 666.

It is a super-2 number, since 2×4748923416006² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6130666 + ... + 6861698.

It is an arithmetic number, because the mean of its divisors is an integer number (68994988920).

Almost surely, 2^{4748923416006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4748923416006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6623518936320).

4748923416006 is an abundant number, since it is smaller than the sum of its proper divisors (8498114456634).

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

4748923416006 is a wasteful number, since it uses less digits than its factorization.

4748923416006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731211 (or 731208 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 4748923416006 in words is "four trillion, seven hundred forty-eight billion, nine hundred twenty-three million, four hundred sixteen thousand, six".