314443339392 has 384 divisors, whose sum is σ = 1048328386560. Its totient is φ = 82773024768.

The previous prime is 314443339339. The next prime is 314443339403. The reversal of 314443339392 is 293933344413.

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

It is a super-2 number, since 2×314443339392² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 189081153 + ... + 189082815.

It is an arithmetic number, because the mean of its divisors is an integer number (2730021840).

Almost surely, 2^314443339392 is an apocalyptic number.

314443339392 is a gapful number since it is divisible by the number (32) 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 314443339392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524164193280).

314443339392 is an abundant number, since it is smaller than the sum of its proper divisors (733885047168).

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

314443339392 is a wasteful number, since it uses less digits than its factorization.

314443339392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2480 (or 2461 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 48.

The spelling of 314443339392 in words is "three hundred fourteen billion, four hundred forty-three million, three hundred thirty-nine thousand, three hundred ninety-two".