1392368320512 has 384 divisors, whose sum is σ = 4492515474720. Its totient is φ = 428389171200.

The previous prime is 1392368320489. The next prime is 1392368320513. The reversal of 1392368320512 is 2150238632931.

1392368320512 is a `hidden beast` number, since 1 + 3 + 9 + 2 + 36 + 83 + 20 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (1392368320513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103507387 + ... + 103520837.

Almost surely, 2^{1392368320512} is an apocalyptic number.

1392368320512 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 1392368320512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246257737360).

1392368320512 is an abundant number, since it is smaller than the sum of its proper divisors (3100147154208).

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

1392368320512 is an frugal number, since it uses more digits than its factorization.

1392368320512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13509 (or 13469 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 1392368320512 in words is "one trillion, three hundred ninety-two billion, three hundred sixty-eight million, three hundred twenty thousand, five hundred twelve".