20658613248 has 1320 divisors, whose sum is σ = 85386625632. Its totient is φ = 4904976384.

The previous prime is 20658613247. The next prime is 20658613279. The reversal of 20658613248 is 84231685602.

20658613248 is a `hidden beast` number, since 2 + 0 + 6 + 5 + 8 + 613 + 24 + 8 = 666.

It is a super-2 number, since 2×20658613248² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20658613243) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 898200565 + ... + 898200587.

Almost surely, 2^20658613248 is an apocalyptic number.

20658613248 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 20658613248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42693312816).

20658613248 is an abundant number, since it is smaller than the sum of its proper divisors (64728012384).

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

20658613248 is a wasteful number, since it uses less digits than its factorization.

20658613248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 20658613248 in words is "twenty billion, six hundred fifty-eight million, six hundred thirteen thousand, two hundred forty-eight".