11649763857408 has 352 divisors, whose sum is σ = 32247348013440. Its totient is φ = 3736535040000.

The previous prime is 11649763857323. The next prime is 11649763857437. The reversal of 11649763857408 is 80475836794611.

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, 3574642083 + ... + 3574645341.

Almost surely, 2^{11649763857408} 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 11649763857408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16123674006720).

11649763857408 is an abundant number, since it is smaller than the sum of its proper divisors (20597584156032).

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

11649763857408 is a wasteful number, since it uses less digits than its factorization.

11649763857408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3705 (or 3687 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 69.

The spelling of 11649763857408 in words is "eleven trillion, six hundred forty-nine billion, seven hundred sixty-three million, eight hundred fifty-seven thousand, four hundred eight".