1381213886832 has 720 divisors, whose sum is σ = 4796193336480. Its totient is φ = 366559395840.

The previous prime is 1381213886831. The next prime is 1381213886879. The reversal of 1381213886832 is 2386883121831.

1381213886832 is a `hidden beast` number, since 138 + 121 + 388 + 6 + 8 + 3 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1381213886831) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 581073228 + ... + 581075604.

It is an arithmetic number, because the mean of its divisors is an integer number (6661379634).

Almost surely, 2^{1381213886832} is an apocalyptic number.

1381213886832 is a gapful number since it is divisible by the number (12) 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 1381213886832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398096668240).

1381213886832 is an abundant number, since it is smaller than the sum of its proper divisors (3414979449648).

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

1381213886832 is a wasteful number, since it uses less digits than its factorization.

1381213886832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502 (or 2462 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 1381213886832 in words is "one trillion, three hundred eighty-one billion, two hundred thirteen million, eight hundred eighty-six thousand, eight hundred thirty-two".