13851322797312 has 2592 divisors, whose sum is σ = 57995035338240. Its totient is φ = 3239374602240.

The previous prime is 13851322797259. The next prime is 13851322797341. The reversal of 13851322797312 is 21379722315831.

It is a happy number.

13851322797312 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 13 + 227 + 97 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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 287 ways as a sum of consecutive naturals, for example, 18743332239 + ... + 18743332977.

Almost surely, 2^{13851322797312} is an apocalyptic number.

13851322797312 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 13851322797312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28997517669120).

13851322797312 is an abundant number, since it is smaller than the sum of its proper divisors (44143712540928).

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

13851322797312 is a wasteful number, since it uses less digits than its factorization.

13851322797312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 818 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 13851322797312 in words is "thirteen trillion, eight hundred fifty-one billion, three hundred twenty-two million, seven hundred ninety-seven thousand, three hundred twelve".