336763381248 has 560 divisors, whose sum is σ = 1172417939616. Its totient is φ = 94595973120.

The previous prime is 336763381247. The next prime is 336763381307. The reversal of 336763381248 is 842183367633.

336763381248 is a `hidden beast` number, since 3 + 3 + 67 + 6 + 338 + 1 + 248 = 666.

It is a super-2 number, since 2×336763381248² (a number of 24 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 336763381194 and 336763381203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336763381247) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 159375840 + ... + 159377952.

Almost surely, 2^336763381248 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 336763381248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586208969808).

336763381248 is an abundant number, since it is smaller than the sum of its proper divisors (835654558368).

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

336763381248 is an frugal number, since it uses more digits than its factorization.

336763381248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217 (or 2186 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 336763381248 in words is "three hundred thirty-six billion, seven hundred sixty-three million, three hundred eighty-one thousand, two hundred forty-eight".