13649595227136 has 352 divisors, whose sum is σ = 45520920053760. Its totient is φ = 4002811084800.

The previous prime is 13649595227113. The next prime is 13649595227141. The reversal of 13649595227136 is 63172259594631.

13649595227136 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 9 + 5 + 9 + 522 + 71 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×13649595227136² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8704080 + ... + 10151856.

Almost surely, 2^{13649595227136} is an apocalyptic number.

13649595227136 is a gapful number since it is divisible by the number (16) 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 13649595227136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22760460026880).

13649595227136 is an abundant number, since it is smaller than the sum of its proper divisors (31871324826624).

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

13649595227136 is a wasteful number, since it uses less digits than its factorization.

13649595227136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447848 (or 1447824 counting only the distinct ones).

The product of its digits is 73483200, while the sum is 63.

The spelling of 13649595227136 in words is "thirteen trillion, six hundred forty-nine billion, five hundred ninety-five million, two hundred twenty-seven thousand, one hundred thirty-six".