13225195734912 has 1024 divisors, whose sum is σ = 46903836672000. Its totient is φ = 3589907005440.

The previous prime is 13225195734901. The next prime is 13225195735069. The reversal of 13225195734912 is 21943759152231.

It is a happy number.

13225195734912 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 5 + 19 + 573 + 49 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11141697583 + ... + 11141698769.

It is an arithmetic number, because the mean of its divisors is an integer number (45804528000).

Almost surely, 2^{13225195734912} is an apocalyptic number.

13225195734912 is a gapful number since it is divisible by the number (12) 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 13225195734912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23451918336000).

13225195734912 is an abundant number, since it is smaller than the sum of its proper divisors (33678640937088).

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

13225195734912 is a wasteful number, since it uses less digits than its factorization.

13225195734912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1526 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The spelling of 13225195734912 in words is "thirteen trillion, two hundred twenty-five billion, one hundred ninety-five million, seven hundred thirty-four thousand, nine hundred twelve".