338356874737080 has 192 divisors, whose sum is σ = 1101241533375360. Its totient is φ = 90098748278784.

The previous prime is 338356874737069. The next prime is 338356874737081. The reversal of 338356874737080 is 80737478653833.

338356874737080 is a `hidden beast` number, since 3 + 3 + 8 + 3 + 5 + 6 + 8 + 7 + 473 + 70 + 80 = 666.

It is a super-2 number, since 2×338356874737080² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338356874737081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2480681364 + ... + 2480817756.

It is an arithmetic number, because the mean of its divisors is an integer number (5735632986330).

Almost surely, 2^{338356874737080} is an apocalyptic number.

338356874737080 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 338356874737080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550620766687680).

338356874737080 is an abundant number, since it is smaller than the sum of its proper divisors (762884658638280).

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

338356874737080 is a wasteful number, since it uses less digits than its factorization.

338356874737080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146270 (or 146263 counting only the distinct ones).

The product of its (nonzero) digits is 1706987520, while the sum is 72.

The spelling of 338356874737080 in words is "three hundred thirty-eight trillion, three hundred fifty-six billion, eight hundred seventy-four million, seven hundred thirty-seven thousand, eighty".