4816782197136 has 960 divisors, whose sum is σ = 17166701260800. Its totient is φ = 1227284213760.

The previous prime is 4816782197113. The next prime is 4816782197147. The reversal of 4816782197136 is 6317912876184.

4816782197136 is a `hidden beast` number, since 481 + 6 + 7 + 8 + 2 + 19 + 7 + 136 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17020431651 + ... + 17020431933.

It is an arithmetic number, because the mean of its divisors is an integer number (17881980480).

Almost surely, 2^{4816782197136} 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 4816782197136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8583350630400).

4816782197136 is an abundant number, since it is smaller than the sum of its proper divisors (12349919063664).

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

4816782197136 is a wasteful number, since it uses less digits than its factorization.

4816782197136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 675 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The spelling of 4816782197136 in words is "four trillion, eight hundred sixteen billion, seven hundred eighty-two million, one hundred ninety-seven thousand, one hundred thirty-six".