338518486656000 has 8448 divisors, whose sum is σ = 1633455221299200. Its totient is φ = 69528040243200.

The previous prime is 338518486655989. The next prime is 338518486656041. The reversal of 338518486656000 is 656684815833.

338518486656000 is a `hidden beast` number, since 3 + 3 + 8 + 5 + 1 + 8 + 4 + 8 + 66 + 560 + 0 + 0 = 666.

It is a super-2 number, since 2×338518486656000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 9149148287982 + ... + 9149148288018.

Almost surely, 2^{338518486656000} is an apocalyptic number.

338518486656000 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 338518486656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816727610649600).

338518486656000 is an abundant number, since it is smaller than the sum of its proper divisors (1294936734643200).

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

338518486656000 is an equidigital number, since it uses as much as digits as its factorization.

338518486656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 338518486656000 in words is "three hundred thirty-eight trillion, five hundred eighteen billion, four hundred eighty-six million, six hundred fifty-six thousand".