1392233992128 has 336 divisors, whose sum is σ = 4831262392320. Its totient is φ = 374202703872.

The previous prime is 1392233992103. The next prime is 1392233992139. The reversal of 1392233992128 is 8212993322931.

1392233992128 is a `hidden beast` number, since 1 + 3 + 9 + 223 + 399 + 2 + 1 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 207205153 + ... + 207211871.

It is an arithmetic number, because the mean of its divisors is an integer number (14378757120).

Almost surely, 2^{1392233992128} is an apocalyptic number.

1392233992128 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 1392233992128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415631196160).

1392233992128 is an abundant number, since it is smaller than the sum of its proper divisors (3439028400192).

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

1392233992128 is a wasteful number, since it uses less digits than its factorization.

1392233992128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9784 (or 9771 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The spelling of 1392233992128 in words is "one trillion, three hundred ninety-two billion, two hundred thirty-three million, nine hundred ninety-two thousand, one hundred twenty-eight".