1338165915948 has 72 divisors (see below), whose sum is σ = 3402622602288. Its totient is φ = 443419350528.

The previous prime is 1338165915941. The next prime is 1338165916013. The reversal of 1338165915948 is 8495195618331.

1338165915948 is a `hidden beast` number, since 1 + 3 + 38 + 1 + 6 + 5 + 9 + 1 + 594 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1338165915941) 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, 5046115 + ... + 5304677.

It is an arithmetic number, because the mean of its divisors is an integer number (47258647254).

Almost surely, 2^{1338165915948} is an apocalyptic number.

1338165915948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1338165915948 is an abundant number, since it is smaller than the sum of its proper divisors (2064456686340).

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

1338165915948 is a wasteful number, since it uses less digits than its factorization.

1338165915948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259423 (or 259418 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 63.

The spelling of 1338165915948 in words is "one trillion, three hundred thirty-eight billion, one hundred sixty-five million, nine hundred fifteen thousand, nine hundred forty-eight".