314394280200 has 1536 divisors, whose sum is σ = 1484904960000. Its totient is φ = 60252595200.

The previous prime is 314394280169. The next prime is 314394280217. The reversal of 314394280200 is 2082493413.

It is a super-2 number, since 2×314394280200² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 264864007 + ... + 264865193.

It is an arithmetic number, because the mean of its divisors is an integer number (966735000).

Almost surely, 2^314394280200 is an apocalyptic number.

314394280200 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 314394280200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742452480000).

314394280200 is an abundant number, since it is smaller than the sum of its proper divisors (1170510679800).

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

314394280200 is a wasteful number, since it uses less digits than its factorization.

314394280200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 314394280200 in words is "three hundred fourteen billion, three hundred ninety-four million, two hundred eighty thousand, two hundred".