338616905045760 has 2592 divisors, whose sum is σ = 1411862570366976. Its totient is φ = 74555641036800.

The previous prime is 338616905045719. The next prime is 338616905045761. The reversal of 338616905045760 is 67540509616833.

338616905045760 is a `hidden beast` number, since 3 + 3 + 8 + 6 + 1 + 6 + 9 + 0 + 50 + 4 + 576 + 0 = 666.

It is a super-2 number, since 2×338616905045760² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338616905045761) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 111350509840 + ... + 111350512880.

It is an arithmetic number, because the mean of its divisors is an integer number (544700065728).

Almost surely, 2^{338616905045760} is an apocalyptic number.

338616905045760 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 338616905045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705931285183488).

338616905045760 is an abundant number, since it is smaller than the sum of its proper divisors (1073245665321216).

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

338616905045760 is a wasteful number, since it uses less digits than its factorization.

338616905045760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3271 (or 3243 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 338616905045760 in words is "three hundred thirty-eight trillion, six hundred sixteen billion, nine hundred five million, forty-five thousand, seven hundred sixty".