1338475968900 has 432 divisors, whose sum is σ = 4911898118400. Its totient is φ = 304728883200.

The previous prime is 1338475968883. The next prime is 1338475968901. The reversal of 1338475968900 is 98695748331.

1338475968900 is a `hidden beast` number, since 1 + 3 + 38 + 4 + 7 + 596 + 8 + 9 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1338475968901) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 79327465 + ... + 79344335.

Almost surely, 2^{1338475968900} is an apocalyptic number.

1338475968900 is a gapful number since it is divisible by the number (10) 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 1338475968900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455949059200).

1338475968900 is an abundant number, since it is smaller than the sum of its proper divisors (3573422149500).

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

1338475968900 is a wasteful number, since it uses less digits than its factorization.

1338475968900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17169 (or 17145 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 1338475968900 in words is "one trillion, three hundred thirty-eight billion, four hundred seventy-five million, nine hundred sixty-eight thousand, nine hundred".