13662861202152 has 448 divisors, whose sum is σ = 40797186840000. Its totient is φ = 4275630489600.

The previous prime is 13662861202099. The next prime is 13662861202169. The reversal of 13662861202152 is 25120216826631.

13662861202152 is a `hidden beast` number, since 1 + 3 + 6 + 6 + 2 + 8 + 612 + 0 + 21 + 5 + 2 = 666.

13662861202152 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 2×13662861202152² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13662861202098 and 13662861202107.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10583160627 + ... + 10583161917.

Almost surely, 2^{13662861202152} is an apocalyptic number.

13662861202152 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 13662861202152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20398593420000).

13662861202152 is an abundant number, since it is smaller than the sum of its proper divisors (27134325637848).

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

13662861202152 is a wasteful number, since it uses less digits than its factorization.

13662861202152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 13662861202152 in words is "thirteen trillion, six hundred sixty-two billion, eight hundred sixty-one million, two hundred two thousand, one hundred fifty-two".