1312378368 has 320 divisors, whose sum is σ = 4242585600. Its totient is φ = 360062976.

The previous prime is 1312378357. The next prime is 1312378373. The reversal of 1312378368 is 8638732131.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

Its product of digits (145152) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24761830 + ... + 24761882.

It is an arithmetic number, because the mean of its divisors is an integer number (13258080).

Almost surely, 2^1312378368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312378368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121292800).

1312378368 is an abundant number, since it is smaller than the sum of its proper divisors (2930207232).

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

1312378368 is an frugal number, since it uses more digits than its factorization.

1312378368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 112 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 1312378368 is about 36226.7631454978. The cubic root of 1312378368 is about 1094.8459623607.

The spelling of 1312378368 in words is "one billion, three hundred twelve million, three hundred seventy-eight thousand, three hundred sixty-eight".