315011213044432 has 160 divisors (see below), whose sum is σ = 668807165030400. Its totient is φ = 143332539710976.

The previous prime is 315011213044399. The next prime is 315011213044433. The reversal of 315011213044432 is 234440312110513.

It is a super-3 number, since 3×315011213044432³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315011213044433) by changing a digit.

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, 100216393 + ... + 103311895.

It is an arithmetic number, because the mean of its divisors is an integer number (4180044781440).

Almost surely, 2^{315011213044432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315011213044432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334403582515200).

315011213044432 is an abundant number, since it is smaller than the sum of its proper divisors (353795951985968).

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

315011213044432 is a wasteful number, since it uses less digits than its factorization.

315011213044432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3095745 (or 3095739 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

Adding to 315011213044432 its reverse (234440312110513), we get a palindrome (549451525154945).

The spelling of 315011213044432 in words is "three hundred fifteen trillion, eleven billion, two hundred thirteen million, forty-four thousand, four hundred thirty-two".