1381104660096 has 448 divisors, whose sum is σ = 4877200339200. Its totient is φ = 380989163520.

The previous prime is 1381104660079. The next prime is 1381104660101. The reversal of 1381104660096 is 6900664011831.

1381104660096 is a `hidden beast` number, since 1 + 38 + 1 + 1 + 0 + 4 + 6 + 600 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 18905881 + ... + 18978791.

It is an arithmetic number, because the mean of its divisors is an integer number (10886607900).

Almost surely, 2^{1381104660096} is an apocalyptic number.

1381104660096 is a gapful number since it is divisible by the number (16) 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 1381104660096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438600169600).

1381104660096 is an abundant number, since it is smaller than the sum of its proper divisors (3496095679104).

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

1381104660096 is an frugal number, since it uses more digits than its factorization.

1381104660096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72979 (or 72952 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 1381104660096 in words is "one trillion, three hundred eighty-one billion, one hundred four million, six hundred sixty thousand, ninety-six".