1415672133216 has 144 divisors (see below), whose sum is σ = 4085479742400. Its totient is φ = 428907790080.

The previous prime is 1415672133173. The next prime is 1415672133287. The reversal of 1415672133216 is 6123312765141.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86635575 + ... + 86651913.

It is an arithmetic number, because the mean of its divisors is an integer number (28371387100).

Almost surely, 2^{1415672133216} is an apocalyptic number.

1415672133216 is a gapful number since it is divisible by the number (16) 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 1415672133216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042739871200).

1415672133216 is an abundant number, since it is smaller than the sum of its proper divisors (2669807609184).

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

1415672133216 is a wasteful number, since it uses less digits than its factorization.

1415672133216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23833 (or 23814 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

Adding to 1415672133216 its reverse (6123312765141), we get a palindrome (7538984898357).

The spelling of 1415672133216 in words is "one trillion, four hundred fifteen billion, six hundred seventy-two million, one hundred thirty-three thousand, two hundred sixteen".