1338857372160 has 2100 divisors, whose sum is σ = 6158608979490. Its totient is φ = 278204129280.

The previous prime is 1338857372129. The next prime is 1338857372189. The reversal of 1338857372160 is 612737588331.

It is a happy number.

1338857372160 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 8 + 573 + 7 + 2 + 1 + 60 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1204971634944 + 133885737216 = 1097712^2 + 365904^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1338857372097 and 1338857372106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 209 ways as a sum of consecutive naturals, for example, 121714306555 + ... + 121714306565.

Almost surely, 2^{1338857372160} is an apocalyptic number.

1338857372160 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 1338857372160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079304489745).

1338857372160 is an abundant number, since it is smaller than the sum of its proper divisors (4819751607330).

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

1338857372160 is an frugal number, since it uses more digits than its factorization.

1338857372160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 1338857372160 in words is "one trillion, three hundred thirty-eight billion, eight hundred fifty-seven million, three hundred seventy-two thousand, one hundred sixty".