683121973248 has 1152 divisors, whose sum is σ = 2494157702400. Its totient is φ = 183936614400.

The previous prime is 683121973241. The next prime is 683121973271. The reversal of 683121973248 is 842379121386.

It is a happy number.

683121973248 is a `hidden beast` number, since 6 + 8 + 312 + 19 + 73 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 683121973194 and 683121973203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683121973241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2063812443 + ... + 2063812773.

It is an arithmetic number, because the mean of its divisors is an integer number (2165067450).

Almost surely, 2^683121973248 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 683121973248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247078851200).

683121973248 is an abundant number, since it is smaller than the sum of its proper divisors (1811035729152).

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

683121973248 is a wasteful number, since it uses less digits than its factorization.

683121973248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 389 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

It can be divided in two parts, 683121 and 973248, that added together give a square (1656369 = 1287²).

The spelling of 683121973248 in words is "six hundred eighty-three billion, one hundred twenty-one million, nine hundred seventy-three thousand, two hundred forty-eight".