1381361954112 has 672 divisors, whose sum is σ = 5016731241600. Its totient is φ = 370353586176.

The previous prime is 1381361954051. The next prime is 1381361954113. The reversal of 1381361954112 is 2114591631831.

1381361954112 is a `hidden beast` number, since 1 + 3 + 8 + 13 + 619 + 5 + 4 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1381361954113) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 559934703 + ... + 559937169.

Almost surely, 2^{1381361954112} is an apocalyptic number.

1381361954112 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 1381361954112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508365620800).

1381361954112 is an abundant number, since it is smaller than the sum of its proper divisors (3635369287488).

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

1381361954112 is a wasteful number, since it uses less digits than its factorization.

1381361954112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908 (or 2885 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The spelling of 1381361954112 in words is "one trillion, three hundred eighty-one billion, three hundred sixty-one million, nine hundred fifty-four thousand, one hundred twelve".