338137412000 has 96 divisors (see below), whose sum is σ = 879674599440. Its totient is φ = 127298764800.

The previous prime is 338137411999. The next prime is 338137412033. The reversal of 338137412000 is 214731833.

It can be written as a sum of positive squares in 8 ways, for example, as 75407356816 + 262730055184 = 274604^2 + 512572^2 .

It is a super-2 number, since 2×338137412000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 2418305 + ... + 2554304.

Almost surely, 2^338137412000 is an apocalyptic number.

It is an amenable number.

338137412000 is an abundant number, since it is smaller than the sum of its proper divisors (541537187440).

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

338137412000 is a wasteful number, since it uses less digits than its factorization.

338137412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4972651 (or 4972633 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The spelling of 338137412000 in words is "three hundred thirty-eight billion, one hundred thirty-seven million, four hundred twelve thousand".