20246241779712 has 896 divisors, whose sum is σ = 67773718656000. Its totient is φ = 5930817159168.

The previous prime is 20246241779707. The next prime is 20246241779737. The reversal of 20246241779712 is 21797714264202.

20246241779712 is a `hidden beast` number, since 2 + 0 + 2 + 4 + 624 + 1 + 7 + 7 + 9 + 7 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5000304664 + ... + 5000308712.

It is an arithmetic number, because the mean of its divisors is an integer number (75640311000).

Almost surely, 2^{20246241779712} 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 20246241779712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33886859328000).

20246241779712 is an abundant number, since it is smaller than the sum of its proper divisors (47527476876288).

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

20246241779712 is a wasteful number, since it uses less digits than its factorization.

20246241779712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4181 (or 4151 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 20246241779712 in words is "twenty trillion, two hundred forty-six billion, two hundred forty-one million, seven hundred seventy-nine thousand, seven hundred twelve".