315055514401104 has 160 divisors (see below), whose sum is σ = 864265946367744. Its totient is φ = 98554812825600.

The previous prime is 315055514401097. The next prime is 315055514401129. The reversal of 315055514401104 is 401104415550513.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 818829312 + ... + 819213984.

Almost surely, 2^{315055514401104} is an apocalyptic number.

315055514401104 is a gapful number since it is divisible by the number (34) 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 315055514401104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432132973183872).

315055514401104 is an abundant number, since it is smaller than the sum of its proper divisors (549210431966640).

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

315055514401104 is a wasteful number, since it uses less digits than its factorization.

315055514401104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387605 (or 387599 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 39.

Adding to 315055514401104 its reverse (401104415550513), we get a palindrome (716159929951617).

The spelling of 315055514401104 in words is "three hundred fifteen trillion, fifty-five billion, five hundred fourteen million, four hundred one thousand, one hundred four".