11451633699648 has 448 divisors, whose sum is σ = 34865863077888. Its totient is φ = 3296439336960.

The previous prime is 11451633699647. The next prime is 11451633699659. The reversal of 11451633699648 is 84699633615411.

It is a super-2 number, since 2×11451633699648² (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 (11451633699647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 197185111 + ... + 197243177.

Almost surely, 2^{11451633699648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11451633699648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17432931538944).

11451633699648 is an abundant number, since it is smaller than the sum of its proper divisors (23414229378240).

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

11451633699648 is a wasteful number, since it uses less digits than its factorization.

11451633699648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58230 (or 58220 counting only the distinct ones).

The product of its digits is 100776960, while the sum is 66.

The spelling of 11451633699648 in words is "eleven trillion, four hundred fifty-one billion, six hundred thirty-three million, six hundred ninety-nine thousand, six hundred forty-eight".