20946248784 has 200 divisors, whose sum is σ = 62616373248. Its totient is φ = 6754855680.

The previous prime is 20946248767. The next prime is 20946248803. The reversal of 20946248784 is 48784264902.

20946248784 is a `hidden beast` number, since 2 + 0 + 9 + 4 + 624 + 8 + 7 + 8 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20946248784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9157689 + ... + 9159975.

Almost surely, 2^20946248784 is an apocalyptic number.

20946248784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20946248784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31308186624).

20946248784 is an abundant number, since it is smaller than the sum of its proper divisors (41670124464).

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

20946248784 is a wasteful number, since it uses less digits than its factorization.

20946248784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2535 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 20946248784 in words is "twenty billion, nine hundred forty-six million, two hundred forty-eight thousand, seven hundred eighty-four".