20248306128 has 400 divisors, whose sum is σ = 63520934400. Its totient is φ = 6211510272.

The previous prime is 20248306121. The next prime is 20248306157. The reversal of 20248306128 is 82160384202.

20248306128 is a `hidden beast` number, since 2 + 0 + 2 + 4 + 8 + 30 + 612 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20248306092 and 20248306101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20248306121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 135894598 + ... + 135894746.

It is an arithmetic number, because the mean of its divisors is an integer number (158802336).

Almost surely, 2^20248306128 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 20248306128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31760467200).

20248306128 is an abundant number, since it is smaller than the sum of its proper divisors (43272628272).

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

20248306128 is a wasteful number, since it uses less digits than its factorization.

20248306128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 20248306128 in words is "twenty billion, two hundred forty-eight million, three hundred six thousand, one hundred twenty-eight".