314241031104 has 224 divisors, whose sum is σ = 1116325464576. Its totient is φ = 75342458880.

The previous prime is 314241031073. The next prime is 314241031147. The reversal of 314241031104 is 401130142413.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 625327 + ... + 1009710.

It is an arithmetic number, because the mean of its divisors is an integer number (4983595824).

Almost surely, 2^314241031104 is an apocalyptic number.

It is an amenable number.

314241031104 is an abundant number, since it is smaller than the sum of its proper divisors (802084433472).

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

314241031104 is a wasteful number, since it uses less digits than its factorization.

314241031104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635083 (or 1635073 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 314241031104 its reverse (401130142413), we get a palindrome (715371173517).

The spelling of 314241031104 in words is "three hundred fourteen billion, two hundred forty-one million, thirty-one thousand, one hundred four".