20130824448 has 486 divisors, whose sum is σ = 71839939626. Its totient is φ = 5404557312.

The previous prime is 20130824381. The next prime is 20130824459. The reversal of 20130824448 is 84442803102.

20130824448 is a `hidden beast` number, since 2 + 0 + 130 + 82 + 4 + 448 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2782773504 + 17348050944 = 52752^2 + 131712^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 32626636 + ... + 32627252.

Almost surely, 2^20130824448 is an apocalyptic number.

20130824448 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 20130824448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35919969813).

20130824448 is an abundant number, since it is smaller than the sum of its proper divisors (51709115178).

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

20130824448 is a wasteful number, since it uses less digits than its factorization.

20130824448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 20130824448 in words is "twenty billion, one hundred thirty million, eight hundred twenty-four thousand, four hundred forty-eight".