4816006371648 has 336 divisors, whose sum is σ = 14487763694976. Its totient is φ = 1526673899520.

The previous prime is 4816006371643. The next prime is 4816006371661. The reversal of 4816006371648 is 8461736006184.

4816006371648 is a `hidden beast` number, since 481 + 60 + 0 + 63 + 7 + 1 + 6 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4816006371594 and 4816006371603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4816006371643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3713188536 + ... + 3713189832.

Almost surely, 2^{4816006371648} is an apocalyptic number.

4816006371648 is a gapful number since it is divisible by the number (48) 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 4816006371648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7243881847488).

4816006371648 is an abundant number, since it is smaller than the sum of its proper divisors (9671757323328).

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

4816006371648 is a wasteful number, since it uses less digits than its factorization.

4816006371648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 4816006371648 in words is "four trillion, eight hundred sixteen billion, six million, three hundred seventy-one thousand, six hundred forty-eight".