1338938748000 has 1152 divisors, whose sum is σ = 5659033476096. Its totient is φ = 304570368000.

The previous prime is 1338938747969. The next prime is 1338938748019. The reversal of 1338938748000 is 8478398331.

1338938748000 is a `hidden beast` number, since 1 + 3 + 3 + 89 + 3 + 87 + 480 + 0 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 2088827680 + ... + 2088828320.

It is an arithmetic number, because the mean of its divisors is an integer number (4912355448).

Almost surely, 2^{1338938748000} is an apocalyptic number.

1338938748000 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 1338938748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2829516738048).

1338938748000 is an abundant number, since it is smaller than the sum of its proper divisors (4320094728096).

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

1338938748000 is an equidigital number, since it uses as much as digits as its factorization.

1338938748000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 1338938748000 in words is "one trillion, three hundred thirty-eight billion, nine hundred thirty-eight million, seven hundred forty-eight thousand".