13843620397152 has 1008 divisors, whose sum is σ = 51484147867152. Its totient is φ = 3630187653120.

The previous prime is 13843620397063. The next prime is 13843620397213. The reversal of 13843620397152 is 25179302634831.

13843620397152 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 3 + 620 + 3 + 9 + 7 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×13843620397152² (a number of 27 digits) contains 22 as substring.

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 167 ways as a sum of consecutive naturals, for example, 2689645843 + ... + 2689650989.

It is an arithmetic number, because the mean of its divisors is an integer number (51075543519).

It is a 1-persistent number, because it is pandigital, but 2⋅13843620397152 = 27687240794304 is not.

Almost surely, 2^{13843620397152} is an apocalyptic number.

13843620397152 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 13843620397152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25742073933576).

13843620397152 is an abundant number, since it is smaller than the sum of its proper divisors (37640527470000).

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

13843620397152 is a wasteful number, since it uses less digits than its factorization.

13843620397152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5383 (or 5353 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 13843620397152 in words is "thirteen trillion, eight hundred forty-three billion, six hundred twenty million, three hundred ninety-seven thousand, one hundred fifty-two".