20364348469248 has 624 divisors, whose sum is σ = 70060021324800. Its totient is φ = 5694423662592.

The previous prime is 20364348469237. The next prime is 20364348469259. The reversal of 20364348469248 is 84296484346302.

20364348469248 is a `hidden beast` number, since 2 + 0 + 3 + 6 + 4 + 348 + 46 + 9 + 248 = 666.

It is an interprime number because it is at equal distance from previous prime (20364348469237) and next prime (20364348469259).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 594267411 + ... + 594301677.

It is an arithmetic number, because the mean of its divisors is an integer number (112275675200).

Almost surely, 2^{20364348469248} is an apocalyptic number.

20364348469248 is a gapful number since it is divisible by the number (28) 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 20364348469248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35030010662400).

20364348469248 is an abundant number, since it is smaller than the sum of its proper divisors (49695672855552).

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

20364348469248 is an equidigital number, since it uses as much as digits as its factorization.

20364348469248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34365 (or 34326 counting only the distinct ones).

The product of its (nonzero) digits is 191102976, while the sum is 63.

The spelling of 20364348469248 in words is "twenty trillion, three hundred sixty-four billion, three hundred forty-eight million, four hundred sixty-nine thousand, two hundred forty-eight".