338921563392 has 216 divisors, whose sum is σ = 1023852321856. Its totient is φ = 111807184896.

The previous prime is 338921563391. The next prime is 338921563451. The reversal of 338921563392 is 293365129833.

338921563392 is a `hidden beast` number, since 3 + 38 + 9 + 215 + 6 + 3 + 392 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×338921563392² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (338921563391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6006093 + ... + 6062259.

Almost surely, 2^338921563392 is an apocalyptic number.

338921563392 is a gapful number since it is divisible by the number (32) 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 338921563392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511926160928).

338921563392 is an abundant number, since it is smaller than the sum of its proper divisors (684930758464).

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

338921563392 is an frugal number, since it uses more digits than its factorization.

338921563392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56295 (or 56269 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 54.

The spelling of 338921563392 in words is "three hundred thirty-eight billion, nine hundred twenty-one million, five hundred sixty-three thousand, three hundred ninety-two".