338523385973760 has 1056 divisors, whose sum is σ = 1304652110082048. Its totient is φ = 80597520875520.

The previous prime is 338523385973719. The next prime is 338523385973761. The reversal of 338523385973760 is 67379583325833.

338523385973760 is a `hidden beast` number, since 3 + 3 + 8 + 5 + 23 + 3 + 8 + 597 + 3 + 7 + 6 + 0 = 666.

It is a super-2 number, since 2×338523385973760² (a number of 30 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (338523385973761) 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, 46481307079 + ... + 46481314361.

Almost surely, 2^{338523385973760} is an apocalyptic number.

338523385973760 is a gapful number since it is divisible by the number (30) 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 338523385973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652326055041024).

338523385973760 is an abundant number, since it is smaller than the sum of its proper divisors (966128724108288).

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

338523385973760 is a wasteful number, since it uses less digits than its factorization.

338523385973760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9861 (or 9840 counting only the distinct ones).

The product of its (nonzero) digits is 2057529600, while the sum is 72.

The spelling of 338523385973760 in words is "three hundred thirty-eight trillion, five hundred twenty-three billion, three hundred eighty-five million, nine hundred seventy-three thousand, seven hundred sixty".