338688181440 has 896 divisors, whose sum is σ = 1468189900800. Its totient is φ = 71768125440.

The previous prime is 338688181411. The next prime is 338688181477. The reversal of 338688181440 is 44181886833.

338688181440 is a `hidden beast` number, since 3 + 386 + 88 + 181 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×338688181440² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54005505 + ... + 54011775.

It is an arithmetic number, because the mean of its divisors is an integer number (1638604800).

Almost surely, 2^338688181440 is an apocalyptic number.

338688181440 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 338688181440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734094950400).

338688181440 is an abundant number, since it is smaller than the sum of its proper divisors (1129501719360).

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

338688181440 is a wasteful number, since it uses less digits than its factorization.

338688181440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6370 (or 6354 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 338688181440 in words is "three hundred thirty-eight billion, six hundred eighty-eight million, one hundred eighty-one thousand, four hundred forty".