1381649488128 has 1440 divisors, whose sum is σ = 5409866246400. Its totient is φ = 340545503232.

The previous prime is 1381649488097. The next prime is 1381649488207. The reversal of 1381649488128 is 8218849461831.

1381649488128 is a `hidden beast` number, since 1 + 3 + 8 + 16 + 494 + 8 + 8 + 128 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3190876200 + ... + 3190876632.

It is an arithmetic number, because the mean of its divisors is an integer number (3756851560).

Almost surely, 2^{1381649488128} is an apocalyptic number.

1381649488128 is a gapful number since it is divisible by the number (18) 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 1381649488128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704933123200).

1381649488128 is an abundant number, since it is smaller than the sum of its proper divisors (4028216758272).

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

1381649488128 is a wasteful number, since it uses less digits than its factorization.

1381649488128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 566 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 63.

The spelling of 1381649488128 in words is "one trillion, three hundred eighty-one billion, six hundred forty-nine million, four hundred eighty-eight thousand, one hundred twenty-eight".