314523648000 has 864 divisors, whose sum is σ = 1190842248960. Its totient is φ = 82811289600.

The previous prime is 314523647993. The next prime is 314523648001. The reversal of 314523648000 is 846325413.

314523648000 is a `hidden beast` number, since 3 + 1 + 4 + 5 + 2 + 3 + 648 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (314523648001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3981311961 + ... + 3981312039.

It is an arithmetic number, because the mean of its divisors is an integer number (1378289640).

Almost surely, 2^314523648000 is an apocalyptic number.

314523648000 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 314523648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595421124480).

314523648000 is an abundant number, since it is smaller than the sum of its proper divisors (876318600960).

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

314523648000 is an frugal number, since it uses more digits than its factorization.

314523648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 314523648000 in words is "three hundred fourteen billion, five hundred twenty-three million, six hundred forty-eight thousand".