13501338521418 has 192 divisors, whose sum is σ = 33087897722880. Its totient is φ = 3941784950400.

The previous prime is 13501338521393. The next prime is 13501338521431. The reversal of 13501338521418 is 81412583310531.

13501338521418 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 133 + 85 + 21 + 418 = 666.

13501338521418 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13501338521418² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3743091771 + ... + 3743095377.

It is an arithmetic number, because the mean of its divisors is an integer number (172332800640).

Almost surely, 2^{13501338521418} is an apocalyptic number.

13501338521418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13501338521418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16543948861440).

13501338521418 is an abundant number, since it is smaller than the sum of its proper divisors (19586559201462).

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

13501338521418 is a wasteful number, since it uses less digits than its factorization.

13501338521418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6193 (or 6190 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 13501338521418 in words is "thirteen trillion, five hundred one billion, three hundred thirty-eight million, five hundred twenty-one thousand, four hundred eighteen".