338519018664 has 640 divisors, whose sum is σ = 1067854233600. Its totient is φ = 99754260480.

The previous prime is 338519018659. The next prime is 338519018699. The reversal of 338519018664 is 466810915833.

338519018664 is a `hidden beast` number, since 3 + 385 + 190 + 18 + 6 + 64 = 666.

It is a super-2 number, since 2×338519018664² (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 self number, because there is not a number n which added to its sum of digits gives 338519018664.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2027059909 + ... + 2027060075.

It is an arithmetic number, because the mean of its divisors is an integer number (1668522240).

Almost surely, 2^338519018664 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 338519018664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533927116800).

338519018664 is an abundant number, since it is smaller than the sum of its proper divisors (729335214936).

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

338519018664 is a wasteful number, since it uses less digits than its factorization.

338519018664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 338519018664 in words is "three hundred thirty-eight billion, five hundred nineteen million, eighteen thousand, six hundred sixty-four".