48672674316864 has 336 divisors, whose sum is σ = 156933190132992. Its totient is φ = 14310649368576.

The previous prime is 48672674316863. The next prime is 48672674316883. The reversal of 48672674316864 is 46861347627684.

48672674316864 is a `hidden beast` number, since 4 + 8 + 6 + 72 + 6 + 7 + 431 + 68 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 48672674316792 and 48672674316801.

It is not an unprimeable number, because it can be changed into a prime (48672674316863) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 171565597 + ... + 171849059.

It is an arithmetic number, because the mean of its divisors is an integer number (467063065872).

Almost surely, 2^{48672674316864} 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 48672674316864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78466595066496).

48672674316864 is an abundant number, since it is smaller than the sum of its proper divisors (108260515816128).

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

48672674316864 is a wasteful number, since it uses less digits than its factorization.

48672674316864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284514 (or 284501 counting only the distinct ones).

The product of its digits is 1560674304, while the sum is 72.

The spelling of 48672674316864 in words is "forty-eight trillion, six hundred seventy-two billion, six hundred seventy-four million, three hundred sixteen thousand, eight hundred sixty-four".