314496000000 has 1568 divisors, whose sum is σ = 1433494151040. Its totient is φ = 66355200000.

The previous prime is 314495999981. The next prime is 314496000023. The reversal of 314496000000 is 694413.

314496000000 is a `hidden beast` number, since 3 + 14 + 49 + 600 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 314496000000 = 400³ + 6800³ = 3000³ + 6600³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 24191999994 + ... + 24192000006.

Almost surely, 2^314496000000 is an apocalyptic number.

314496000000 is a gapful number since it is divisible by the number (30) 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 314496000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716747075520).

314496000000 is an abundant number, since it is smaller than the sum of its proper divisors (1118998151040).

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

314496000000 is an frugal number, since it uses more digits than its factorization.

314496000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 314496000000 its reverse (694413), we get a palindrome (314496694413).

The spelling of 314496000000 in words is "three hundred fourteen billion, four hundred ninety-six million", and thus it is an aban number.