11650672746048 has 448 divisors, whose sum is σ = 38104276953600. Its totient is φ = 3129556598784.

The previous prime is 11650672745989. The next prime is 11650672746073. The reversal of 11650672746048 is 84064727605611.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1134101040 + ... + 1134111312.

Almost surely, 2^{11650672746048} 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 11650672746048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19052138476800).

11650672746048 is an abundant number, since it is smaller than the sum of its proper divisors (26453604207552).

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

11650672746048 is a wasteful number, since it uses less digits than its factorization.

11650672746048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11339 (or 11315 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 57.

The spelling of 11650672746048 in words is "eleven trillion, six hundred fifty billion, six hundred seventy-two million, seven hundred forty-six thousand, forty-eight".