314104200000 has 672 divisors, whose sum is σ = 1114353676800. Its totient is φ = 77840640000.

The previous prime is 314104199989. The next prime is 314104200017. The reversal of 314104200000 is 2401413.

It is a super-2 number, since 2×314104200000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 672599767 + ... + 672600233.

It is an arithmetic number, because the mean of its divisors is an integer number (1658264400).

Almost surely, 2^314104200000 is an apocalyptic number.

314104200000 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 314104200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557176838400).

314104200000 is an abundant number, since it is smaller than the sum of its proper divisors (800249476800).

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

314104200000 is an equidigital number, since it uses as much as digits as its factorization.

314104200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 314104200000 its reverse (2401413), we get a palindrome (314106601413).

The spelling of 314104200000 in words is "three hundred fourteen billion, one hundred four million, two hundred thousand".