13633545460050 has 336 divisors, whose sum is σ = 38256455001600. Its totient is φ = 3613087296000.

The previous prime is 13633545460033. The next prime is 13633545460061. The reversal of 13633545460050 is 5006454533631.

13633545460050 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 3 + 54 + 546 + 0 + 0 + 50 = 666.

It is a super-2 number, since 2×13633545460050² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 13633545459978 and 13633545460005.

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, 5261884255 + ... + 5261886845.

Almost surely, 2^{13633545460050} is an apocalyptic number.

13633545460050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13633545460050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19128227500800).

13633545460050 is an abundant number, since it is smaller than the sum of its proper divisors (24622909541550).

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

13633545460050 is a wasteful number, since it uses less digits than its factorization.

13633545460050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3461 (or 3441 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 45.

Adding to 13633545460050 its reverse (5006454533631), we get a palindrome (18639999993681).

The spelling of 13633545460050 in words is "thirteen trillion, six hundred thirty-three billion, five hundred forty-five million, four hundred sixty thousand, fifty".