315050144442432 has 448 divisors, whose sum is σ = 963274517114880. Its totient is φ = 89016744960000.

The previous prime is 315050144442431. The next prime is 315050144442443. The reversal of 315050144442432 is 234244441050513.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (315050144442431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55262257182 + ... + 55262262882.

Almost surely, 2^{315050144442432} is an apocalyptic number.

315050144442432 is a gapful number since it is divisible by the number (32) 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 315050144442432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481637258557440).

315050144442432 is an abundant number, since it is smaller than the sum of its proper divisors (648224372672448).

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

315050144442432 is a wasteful number, since it uses less digits than its factorization.

315050144442432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7050 (or 7040 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

Adding to 315050144442432 its reverse (234244441050513), we get a palindrome (549294585492945).

The spelling of 315050144442432 in words is "three hundred fifteen trillion, fifty billion, one hundred forty-four million, four hundred forty-two thousand, four hundred thirty-two".