1381695815808 has 1536 divisors, whose sum is σ = 5433196953600. Its totient is φ = 341397504000.

The previous prime is 1381695815807. The next prime is 1381695815813. The reversal of 1381695815808 is 8085185961831.

1381695815808 is a `hidden beast` number, since 1 + 38 + 16 + 9 + 5 + 8 + 1 + 580 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1381695815807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4099987416 + ... + 4099987752.

It is an arithmetic number, because the mean of its divisors is an integer number (3537237600).

Almost surely, 2^{1381695815808} is an apocalyptic number.

1381695815808 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 1381695815808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2716598476800).

1381695815808 is an abundant number, since it is smaller than the sum of its proper divisors (4051501137792).

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

1381695815808 is a wasteful number, since it uses less digits than its factorization.

1381695815808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 63.

The spelling of 1381695815808 in words is "one trillion, three hundred eighty-one billion, six hundred ninety-five million, eight hundred fifteen thousand, eight hundred eight".