338405610267648 has 704 divisors, whose sum is σ = 1251001994803200. Its totient is φ = 87791074836480.

The previous prime is 338405610267587. The next prime is 338405610267653. The reversal of 338405610267648 is 846762016504833.

It is a happy number.

338405610267648 is a `hidden beast` number, since 3 + 3 + 8 + 4 + 0 + 5 + 610 + 2 + 6 + 7 + 6 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×338405610267648² (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 63 ways as a sum of consecutive naturals, for example, 1764758911 + ... + 1764950657.

Almost surely, 2^{338405610267648} 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 338405610267648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625500997401600).

338405610267648 is an abundant number, since it is smaller than the sum of its proper divisors (912596384535552).

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

338405610267648 is a wasteful number, since it uses less digits than its factorization.

338405610267648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192623 (or 192599 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 338405610267648 in words is "three hundred thirty-eight trillion, four hundred five billion, six hundred ten million, two hundred sixty-seven thousand, six hundred forty-eight".