20249217784656 has 180 divisors, whose sum is σ = 66756335505600. Its totient is φ = 5712256577664.

The previous prime is 20249217784633. The next prime is 20249217784711. The reversal of 20249217784656 is 65648771294202.

20249217784656 is a `hidden beast` number, since 2 + 0 + 2 + 4 + 92 + 17 + 78 + 465 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 20249217784593 and 20249217784602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17605786 + ... + 18720633.

Almost surely, 2^{20249217784656} is an apocalyptic number.

It is an amenable number.

20249217784656 is an abundant number, since it is smaller than the sum of its proper divisors (46507117720944).

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

20249217784656 is a wasteful number, since it uses less digits than its factorization.

20249217784656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36326526 (or 36326510 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 20249217784656 in words is "twenty trillion, two hundred forty-nine billion, two hundred seventeen million, seven hundred eighty-four thousand, six hundred fifty-six".