13801748491520 has 288 divisors, whose sum is σ = 36394912479744. Its totient is φ = 5014409748480.

The previous prime is 13801748491393. The next prime is 13801748491529. The reversal of 13801748491520 is 2519484710831.

It is a happy number.

It is a super-2 number, since 2×13801748491520² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13801748491529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2424333794 + ... + 2424339486.

It is an arithmetic number, because the mean of its divisors is an integer number (126371223888).

Almost surely, 2^{13801748491520} is an apocalyptic number.

13801748491520 is a gapful number since it is divisible by the number (10) 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 13801748491520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18197456239872).

13801748491520 is an abundant number, since it is smaller than the sum of its proper divisors (22593163988224).

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

13801748491520 is an equidigital number, since it uses as much as digits as its factorization.

13801748491520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7170 (or 7134 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 53.

The spelling of 13801748491520 in words is "thirteen trillion, eight hundred one billion, seven hundred forty-eight million, four hundred ninety-one thousand, five hundred twenty".