338473193344 has 128 divisors (see below), whose sum is σ = 792571016160. Its totient is φ = 141947904000.

The previous prime is 338473193321. The next prime is 338473193389. The reversal of 338473193344 is 443391374833.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×338473193344² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 338473193291 and 338473193300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58954314 + ... + 58960054.

Almost surely, 2^338473193344 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 338473193344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396285508080).

338473193344 is an abundant number, since it is smaller than the sum of its proper divisors (454097822816).

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

338473193344 is a wasteful number, since it uses less digits than its factorization.

338473193344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9000 (or 8988 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 52.

The spelling of 338473193344 in words is "three hundred thirty-eight billion, four hundred seventy-three million, one hundred ninety-three thousand, three hundred forty-four".