1382992867872 has 288 divisors, whose sum is σ = 4936258454400. Its totient is φ = 356807208960.

The previous prime is 1382992867853. The next prime is 1382992867889. The reversal of 1382992867872 is 2787682992831.

1382992867872 is a `hidden beast` number, since 1 + 382 + 9 + 92 + 86 + 7 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1382992867872.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3094948 + ... + 3513500.

It is an arithmetic number, because the mean of its divisors is an integer number (17139786300).

Almost surely, 2^{1382992867872} is an apocalyptic number.

1382992867872 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 1382992867872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468129227200).

1382992867872 is an abundant number, since it is smaller than the sum of its proper divisors (3553265586528).

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

1382992867872 is a wasteful number, since it uses less digits than its factorization.

1382992867872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418736 (or 418725 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 72.

The spelling of 1382992867872 in words is "one trillion, three hundred eighty-two billion, nine hundred ninety-two million, eight hundred sixty-seven thousand, eight hundred seventy-two".