20849649601248 has 288 divisors, whose sum is σ = 69046534118016. Its totient is φ = 5909440610304.

The previous prime is 20849649601243. The next prime is 20849649601343. The reversal of 20849649601248 is 84210694694802.

20849649601248 is a `hidden beast` number, since 2 + 0 + 8 + 4 + 96 + 496 + 0 + 12 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20849649601243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 493411 + ... + 6476322.

It is an arithmetic number, because the mean of its divisors is an integer number (239744910132).

Almost surely, 2^{20849649601248} 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 20849649601248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34523267059008).

20849649601248 is an abundant number, since it is smaller than the sum of its proper divisors (48196884516768).

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

20849649601248 is a wasteful number, since it uses less digits than its factorization.

20849649601248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6969826 (or 6969815 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 20849649601248 in words is "twenty trillion, eight hundred forty-nine billion, six hundred forty-nine million, six hundred one thousand, two hundred forty-eight".