338617219360 has 192 divisors, whose sum is σ = 946441843200. Its totient is φ = 112017088512.

The previous prime is 338617219349. The next prime is 338617219363. The reversal of 338617219360 is 63912716833.

It is a super-2 number, since 2×338617219360² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (338617219363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66224164 + ... + 66229276.

It is an arithmetic number, because the mean of its divisors is an integer number (4929384600).

Almost surely, 2^338617219360 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 338617219360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473220921600).

338617219360 is an abundant number, since it is smaller than the sum of its proper divisors (607824623840).

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

338617219360 is a wasteful number, since it uses less digits than its factorization.

338617219360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7203 (or 7195 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 49.

The spelling of 338617219360 in words is "three hundred thirty-eight billion, six hundred seventeen million, two hundred nineteen thousand, three hundred sixty".