338749307712 has 112 divisors (see below), whose sum is σ = 996007030080. Its totient is φ = 112899792384.

The previous prime is 338749307693. The next prime is 338749307723. The reversal of 338749307712 is 217703947833.

338749307712 is a `hidden beast` number, since 3 + 3 + 87 + 493 + 0 + 7 + 71 + 2 = 666.

It is a super-2 number, since 2×338749307712² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 18796818 + ... + 18814830.

Almost surely, 2^338749307712 is an apocalyptic number.

338749307712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

338749307712 is an abundant number, since it is smaller than the sum of its proper divisors (657257722368).

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

338749307712 is a wasteful number, since it uses less digits than its factorization.

338749307712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28917 (or 28901 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 338749307712 in words is "three hundred thirty-eight billion, seven hundred forty-nine million, three hundred seven thousand, seven hundred twelve".